Conservation Laws Preprint Server

2016 Preprints

2016-014 Francesca Marcellini:
On the stability of a model for the cutting of metal plates by means of laser beams.
2016-013 Francesca Marcellini:
Existence of solutions to a boundary value problem for a phase transition traffic Model.
2016-012 Marin Prebeg, Tore Flåtten and Bernhard Müller:
Large time step HLL and HLLC schemes.
2016-011 Edda Dal Santo, Massimiliano D. Rosini, Nikodem Dymski, and Mohamed Benyahia:
General phase transition models for vehicular traffic with point constraints on the flow.
2016-010 Laura Caravenna and Gianluca Crippa:
Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation.
☞ This paper is posted on arXiv (follow the link above).
2016-009 Stefano Bianchini and Elio Marconi:
On the structure of L^∞-entropy solutions to scalar conservation laws in one-space dimension.
2016-008 Mauro Garavello and Francesca Marcellini:
The Riemann problem at a junction for a phase transition traffic model.
2016-007 Mauro Garavello and Stefano Villa:
The Cauchy problem for the Aw–Rascle–Zhang traffic model with locally constrained flow.
2016-006 John D. Towers:
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities.
2016-005 Mohamed Benyahia and Massimiliano D. Rosini:
Entropy solutions for a traffic model with phase transitions.
2016-004 Kenneth H. Karlsen and Erlend B. Storrøsten:
Analysis of a splitting method for stochastic balance laws.
2016-003 François Bouchut and Xavier Lhébrard:
A multi well-balanced scheme for the shallow water MHD system with topography.
2016-002 Françcois Bouchut and Xavier Lhébrard:
A 5-wave relaxation solver for the shallow water MHD system.
2016-001 Alberto Bressan and Tianyou Zhang:
Piecewise smooth solutions to the Burgers–Hilbert equation.

2015 Preprints

2015-028 Alberto Bressan and Anders Nordli:
The Riemann solver for traffic flow at an intersection with buffer of vanishing size.
2015-027 Wen Shen:
Slow erosion with rough geological layers.
2015-026 Saeid Khorsandi, Wen Shen and Russell T. Johns:
Global Riemann solver and front tracking approximation of three-component gas floods.
2015-025 Rinaldo M. Colombo and Helge Holden:
Isentropic fluid dynamics in a curved pipe.
2015-024 Dian-liang Qiao, Peng Zhang, Zhi-Yang Lin, S.C. Wong, and Keechoo Choi:
A Runge–Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes.
2015-023 E. Yu. Panov:
On large time behavior of periodic entropy solutions to scalar conservation laws.
2015-022 Anna Bohun, François Bouchut and Gianluca Crippa:
Lagrangian flows for vector fields with anisotropic regularity.
2015-021 Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau and Jacques Sainte-Marie:
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system.
2015-020 Kenneth Hvistendahl Karlsen, Nils Henrik Risebro and Erlend Briseid Storrøsten:
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions.
2015-019 Kenneth Hvistendahl Karlsen and Erlend Briseid Storrøsten:
On stochastic conservation laws and Malliavin calculus .
2015-018 Alberto Bressan and Geng Chen:
Lipschitz metrics for a class of nonlinear wave equations.
2015-017 Dalal Abdulsalam Elmabruk Daw and Marko Nedeljkov:
Shadow waves for pressureless gas balance laws.
2015-016 Rinaldo M. Colombo and Mauro Garavello:
Control of biological resources on graphs.
2015-015 Laura Caravenna and Laura V. Spinolo:
New interaction estimates for the Baiti-Jenssen system.
☞ This paper is posted on arXiv (follow the link above).
2015-014 Laura Caravenna and Laura V. Spinolo:
Schaeffer's regularity theorem for scalar conservation laws does not extend to systems.
☞ This paper is posted on arXiv (follow the link above).
2015-013 Pierre Castelli and Stephane Junca:
Oscillating waves and optimal smoothing effect for one- dimensional nonlinear scalar conservation laws.
2015-012 Stephane Junca :
High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws.
2015-011 Alberto Bressan, Tao Huang and Fang Yu:
Structurally stable singularities for a nonlinear wave equation.
2015-010 E.Yu. Panov:
On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws.
2015-008 Christian Bourdarias, Marguerite Gisclon and Stephane Junca:
Fractional BV spaces and first applications to scalar conservation laws.
2015-007 Zhiqiang Shao:
Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish.
2015-006 Boris Andreianov, Carlotta Donadello, Ulrich Razafison and Massimiliano D. Rosini:
Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks.
2015-005 Katrin Grunert and Helge Holden:
The general peakon-antipeakon solution for the Camassa–Holm equation.
2015-004 Alberto Bressan and Geng Chen:
Generic regularity of conservative solutions to a nonlinear wave equation.
2015-003 E. Yu. Panov:
On one criterion of the uniqueness of generalized solutions for linear transport equations with discontinuous coefficients.
2015-002 John D. Towers:
A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction.
2015-001 Alberto Bressan and Khai T. Nguyen:
Optima and equilibria for traffic flow on networks with backward propagating queues.

2014 Preprints

2014-016 Alberto Bressan, Geng Chen, and Qingtian Zhang:
Unique conservative solutions to a variational wave equation.
2014-015 Darko Mitrović and Andrej Novak:
Transport-collapse scheme for heterogeneous scalar conservation laws.
2014-014 Alberto Bressan, Geng Chen, Qingtian Zhang, and Shengguo Zhu:
No BV bounds for approximate solutions to p-system with general pressure law.
2014-013 E. Yu. Panov:
On the Cauchy problem for scalar conservation laws on the Bohr compactification of Rⁿ.
2014-012 Rinaldo M. Colombo and Helge Holden:
On the Braess paradox with nonlinear dynamics and control theory.
2014-011 Alberto Bressan and Tao Huang:
Representation of dissipative solutions to a nonlinear variational wave equation.
2014-010 E. Yu. Panov:
On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions.
2014-009 Alberto Bressan and Khai T. Nguyen:
Conservation law models for traffic flow on a network of roads.
2014-008 Alberto Bressan and Fang Yu:
Continuous Riemann solvers for traffic flow at a junction.
2014-007 Marco Di Francesco and Massimiliano D. Rosini:
Rigorous derivation of the Lighthill–Whitham–Richards model from the follow the-leader model as many particle limit.
2014-006 Anupam Pal Choudhury, K. T. Joseph and Manas R. Sahoo:
Spherically symmetric solutions of multi-dimensional zero-pressure gas dynamics system.
2014-005 Debora Amadori and Laurent Gosse:
Error estimates for well-balanced and time-split schemes on a damped semilinear wave equation.
2014-004 Alberto Bressan and Khai T. Nguyen:
Global existence of weak solutions for the Burgers–Hilbert equation.
2014-003 Alberto Bressan and Wen Shen:
A semigroup approach to an integro-differential equation modeling slow erosion.
2014-002 A. Bressan, S. Čanić, M. Garavello, M. Herty and B. Piccoli:
Flows on networks: recent results and perspectives.
2014-001 Alberto Bressan, Geng Chen, and Qingtian Zhang:
Uniqueness of conservative solutions to the Camassa–Holm equation via characteristics

2013 Preprints

2013-013 Alberto Bressan and Truyen Nguyen:
Nonexistence and nonuniqueness for multidimensional sticky particle systems.
2013-012 Stefano Bianchini and Stefano Modena:
Quadratic interaction functional for systems of conservation laws: a case study.
2013-011 Stefano Bianchini and Stefano Modena:
On a quadratic functional for scalar conservation laws.
2013-010 Alberto Bressan, Geng Chen, and Qingtian Zhang:
Lack of BV bounds for approximate solutions to the p-system with large data.
2013-009 Helge Holden, Fabio Simone Priuli and Nils Henrik Risebro:
On an inverse problem for scalar conservation laws.
2013-008 E. Yu. Panov:
On decay of periodic renormalized solutions to scalar conservation laws.
2013-007 Gunhild A. Reigstad, Tore Flåtten, Nils Erland Haugen and Tor Ytrehus:
Coupling constants and the generalized Riemann problem for isothermal junction flow.
2013-006 Zhiliang Xu, Xu-Yan Chen and Yingjie Liu:
A new Runge–Kutta discontinuous Galerkin method with conservation constraint to improve CFL condition for solving conservation laws.
2013-005 Lili Hu, Yao Li and Yingjie Liu:
A limiting strategy for the back and forth error compensation and correction method for solving advection equations.
2013-004 Graziano Guerra and Wen Shen:
Existence and stability of traveling waves for an integro-differential equation for slow erosion.
2013-003 Aude Bernard-Champmartin and Florian De Vuyst:
A low diffusive Lagrange-remap scheme for the simulation of violent air-water free-surface flows.
2013-002 Alexandre Morin and Tore Flåtten:
A two-fluid four-equation model with instantaneous thermodynamical equilibrium.
2013-001 Debora Amadori and Laurent Gosse:
Transient L¹ error estimates for well-balanced schemes on non-resonant scalar balance laws.

2012 Preprints

2012-024 Misha Bialy and Andrey Mironov:
From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity.
2012-023 Anupam Pal Choudhury:
Singular solutions for a 2×2 system in nonconservative form with incomplete set of eigenvectors.
2012-022 Clément Cancès and Nicolas Seguin:
Error estimate for Godunov approximation of locally constrained conservation laws.
2012-021 Qing Chen, Huijiang Zhao and Qingyang Zou:
Initial-boundary value problems to the one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients.
2012-020 R. Bürger and S. Diehl:
Convexity-preserving flux identification for scalar conservation laws modelling sedimentation.
2012-019 E.Yu. Panov:
On periodic entropy sub- and super-solutions to a degenerate elliptic-hyperbolic equation.
2012-018 Christophe Chalons, Mathieu Girardin and Samuel Kokh:
Large time step and asymptotic preserving numerical schemes for the gas dynamics equations with source terms.
2012-017 Alberto Bressan and Ke Han:
Existence of optima and equilibria for traffic flow on networks.
2012-016 Zhong Tan, Tong Yang, Huijiang Zhao and Qingyang Zou:
Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data.
2012-015 Yun-guang Lu:
Global solutions to one-dimensional shallow water magnetohydrodynamic equations.
2012-014 Yun-guang Lu:
Existence of global entropy solutions to the isentropic Euler equations with geometric effects.
2012-013 Yun-guang Lu:
Existence of global bounded weak entropy solutions to extended Keyfitz–Kranzer system modelling polymer flooding.
2012-012 Ee Han and Gerald Warnecke:
The exact Riemann solutions to shallow water equations.
2012-011 Friedemann Kemm:
A note on the carbuncle in shallow water simulations.
2012-010 Kenneth H. Karlsen, Nils Henrik Risebro and Erlend B. Storrøsten:
L¹ Error Estimates for Difference Approximations of Degenerate Convection-Diffusion Equations.
2012-009 Misha Bialy:
Smooth solutions for a p-system of mixed type.
2012-008 Misha Perepelitsa:
A note on a kinetic formulation of the Euler equations.
2012-007 Darko Mitrovic:
Proper entropy conditions for scalar conservation laws with discontinuous flux.
2012-006 Alberto Bressan, Chen Jie Liu, Wen Shen and Fang Yu:
Variational analysis of Nash equilibria for a model of traffic flow.
2012-005 Debora Amadori and Wen Shen:
An integro–differential conservation law arising in a model of granular flow.
2012-004 Rinaldo Colombo, Graziano Guerra and Wen Shen:
Lipschitz semigroup for an integro–differential equation for slow erosion.
2012-003 Marshall Slemrod:
Admissibility of weak solutions for the compressible Euler equations, n≥2.
2012-002 Ritesh Kumar Dubey:
High resolution schemes: total variation stability and its dependence on smoothness parameter.
2012-001 Alain Yves Le Roux:
Source terms versus entropy for environmental waves.

2011 Preprints

2011-027 Ee Han, Maren Hantke and Gerald Warnecke:
Exact Riemann solutions to Euler equations in ducts with discontinuous cross-section.
2011-026 Evgeniy Panov:
On decay of periodic entropy solutions to a scalar conservation law.
2011-025 Andrea Corli and Christian Rohde:
Singular limits for a parabolic-elliptic regularization of scalar conservation laws.
2011-024 Dante Kalise and Ivar Lie:
Modelling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes.
2011-023 Dante Kalise:
A study of a WENO-TVD finite volume scheme for the numerical simulation of atmospheric advective and convective phenomena.
2011-022 Dante Kalise, Ivar Lie and Eleuterio F. Toro:
High-order finite volume schemes for layered atmospheric models.
2011-021 François Bouchut and Sébastien Boyaval:
A new model for shallow elastic fluids.
2011-020 Friedemann Kemm:
On some deficiencies of the AUFS scheme for Euler flows and possible fixes.
2011-019 K.V. Karelsky, A.S. Petrosyan and S.V. Tarasevich:
Nonlinear dynamics of magnetohydrodynamic flows of heavy fluid over an arbitrary surface in shallow water approximation.
2011-018 K. V. Karelsky, A. S. Petrosyan and A. G. Slavin:
Quasi-two-layer finite-volume scheme for modeling shallow water flows over an arbitrary bed in the presence of external force.
2011-017 Siddhartha Mishra and Laura V. Spinolo:
Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws.
2011-016 Alberto Bressan and Ke Han:
Nash equilibria for a model of traffic flow with several groups of drivers.
2011-015 Fei Jiang, Song Jiang and Weiwei Wang:
On the Rayleigh–Taylor instability for two uniform viscous incompressible flows.
2011-014 :Ran Duan, Fei Jiang and Song Jiang
On the Rayleigh–Taylor instability for incompressible, inviscid magnetohydrodynamic flows.
2011-013 Cleopatra Christoforou and Laura V. Spinolo:
Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems.
2011-012 Darko Mitrović:
Existence of solutions for degenerate parabolic equations with rough coefficients.
2011-011 Helge Kristian Jenssen and Irina A. Kogan:
Extensions for systems of conservation laws.
2011-010 E. Yu. Panov:
On weak completeness of the set of entropy solutions to a degenerate non-linear parabolic equation.
2011-009 Geng Chen, Erik E. Endres and Helge Kristian Jenssen:
Pairwise wave interactions in ideal polytropic gases.
2011-008 Peder Kristian Aursand, Steinar Evje, Tore Flåtten, Knut Erik Teigen Giljarhus and Svend Tollak Munkejord:
An exponential time-differencing method for monotonic relaxation systems.
2011-007 Boris Andreianov and Nicolas Seguin:
Well-posedness of a singular balance law.
2011-006 Feimin Huang, Tianyi Wang and Yong Wang:
On multi-dimensional sonic-subsonic flow.
2011-005 Alberto Bressan and Ke Han:
Optima and equilibria for a model of traffic flow.
2011-004 Shi Jin, Jian-Guo Liu and Li Wang:
A Domain Decomposition Method for Semilinear Hyperbolic Systems with Two-scale Relaxations.
2011-003 Helge Holden, Kenneth H. Karlsen, and Trygve K. Karper:
Operator splitting for two-dimensional incompressible fluid equations.
2011-002 Michael Bialy:
Richness or Semi-Hamiltonicity of quasi-linear systems which are not in evolution form.
2011-001 Henrik Kalisch and Darko Mitrovic:
Singular solutions for nonlinear hyperbolic systems.

2010 Preprints

2010-025 Debora Amadori and Wen Shen:
Front tracing approximations for slow erosion.
2010-024 Jelena Aleksić and Darko Mitrovic:
Strong traces for entropy solutions of heterogeneous ultra-parabolic equations.
2010-023 Raul Borsche, Rinaldo M. Colombo and Mauro Garavello:
Mixed Systems: ODEs – Balance Laws.
2010-022 Darko Mitrović:
Well-posedness for multidimensional scalar conservation law with discontinuous flux.
2010-021 F. Bouchut, R. Eymard and A. Prignet:
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data.
2010-020 Geng Chen:
Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations.
2010-019 Jiequan Li, Qibing Li and Kun Xu:
Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations.
2010-018 Friedemann Kemm:
On the origin of divergence errors in MHD simulations and consequences for numerical schemes.
2010-017 Wen Shen and Tianyou Zhang:
Erosion profile by a global model for granular flow.
2010-016 Ee Han, Jiequan Li and Huazhong Tang:
Accuracy of the adaptive GRP scheme and the simulation of 2-D Riemann problems for compressible Euler equations.
2010-015 Hermano Frid, Helge Holden, and Kenneth H. Karlsen:
L^∞ solutions for a model of polytropic gas flow with diffusive entropy.
2010-014 Ulrich Nehring:
An energy-momentum interaction of fluid elements.
2010-013 Hao YAN and Wen-An Yong:
Weak entropy solutions of nonlinear reaction-hyperbolic systems for axonal transport.
2010-012 Cleopatra Christoforou and Laura V. Spinolo:
A uniqueness criterion for viscous limits of boundary Riemann problems.
2010-011 Darko Mitrovic and Ivan Ivec:
A generalization of H-measures and application on purely fractional scalar conservation laws.
2010-010 Fernando Betancourt, Raimund Bürger and Kenneth H. Karlsen:
A strongly degenerate parabolic aggregation equation.
2010-009 Raul Borsche, Rinaldo M. Colombo and Mauro Garavello:
On the coupling of systems of hyperbolic conservation laws with ordinary differential equations.
2010-008 Katrin Grunert, Helge Holden and Xavier Raynaud:
Lipschitz metric for the periodic Camassa–Holm equation.
2010-007 Boris Andreianov, Kenneth H. Karlsen and Nils Henrik Risebro:
A theory of L¹-dissipative solvers for scalar conservation laws with discontinuous flux.
2010-006 John Loverich, Ammar Hakim and Uri Shumlak:
A discontinuous Galerkin method for ideal two-fluid plasma equations.
2010-005 Camillo De Lellis and Roger Robyr:
Hamilton Jacobi equations with obstacles.
2010-004 Stefano Bianchini, Camillo De Lellis and Roger Robyr:
SBV Regularity for Hamilton–Jacobi Equations in Rⁿ.
2010-003 Stefano Bianchini, Rinaldo M. Colombo and Francesca Monti :
2×2 Systems of Conservation Laws with L^∞ data.
2010-002 Kun Xu and Juan-Chen Huang:
A unified gas-kinetic scheme for continuum and rarefied flows.
2010-001 E.Yu. Panov:
Ultraparabolic H-measures and compensated compactness.

2009 Preprints

2009-060 Jishan Fan, Song Jiang and Guoxi Ni:
A blow-up criterion in terms of the density for compressible viscous flows.
2009-059 Carlos D. Acosta, Raimund Bürger and Carlos E. Mejía:
Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations.
2009-058 Raimund Bürger, Kenneth H. Karlsen, Hector Torres and John D. Towers:
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units.
2009-057 Ning Jiang and C. David Levermore:
Global existence and regularity of the weakly compressible Navier–Stokes system.
2009-056 Boris Andreianov, Kenneth H. Karlsen and Nils H. Risebro:
On vanishing viscosity approximation of conservation laws with discontinuous flux.
2009-055 Tore Flåtten, Alexandre Morin and Svend Tollak Munkejord:
Wave propagation in multicomponent flow models.
2009-054 Rinaldo M. Colombo, Graziano Guerra and Francesca Monti:
Modeling the Dynamics of Granular Matter.
2009-053 Kenneth Karlsen and Trygve Karper:
A convergent mixed method for the Stokes approximation of viscous compressible flow.
2009-052 Helge Holden and Xavier Raynaud:
Global semigroup of conservative solutions of the nonlinear variational wave equation.
2009-051 Helge Holden, Kenneth H. Karlsen, Darko Mitrovic and Evgueni Yu. Panov:
Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function.
2009-050 Frederike Kissling and Christian Rohde:
The computation of nonclassical shock waves with a heterogeneous multiscale method.
2009-049 Patrick Engel and Christian Rohde:
Convergence of the space-time expansion discontinuous Galerkin method for scalar conservation laws.
2009-048 Nathaël Alibaud and Boris Andreïanov:
Non-uniqueness of weak solutions for the fractal Burgers equation.
2009-047 Boris Andreianov and Mohamed Maliki:
A note on uniqueness of entropy solutions to degenerate parabolic equations in R^N.
2009-046 Zhen-huan Teng:
Error bound between monotone difference schemes and their modified equations.
2009-045 Darko Mitrovic and Jelena Aleksić:
On the compactness for two dimensional scalar conservation law with discontinuous flux.
2009-044 Jiale Hua and Tong Yang:
A note on the new Glimm functional for general systems of hyperbolic conservation laws.
2009-043 Yingjie Liu, Chi-Wang Shu and Zhiliang Xu:
Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws.
2009-042 Stefano Bianchini and Laura V. Spinolo:
Invariant manifolds for a singular ordinary differential equation.
2009-041 Stefano Bianchini and Laura V. Spinolo:
A connection between viscous profiles and singular ODEs.
2009-040 Qibing Li and Kun Xu:
A high-order gas-kinetic navier-stokes solver I: One-dimensional flux evaluation.
2009-039 Nikolay Andrianov:
On an optimal number of time steps for a sequential solution of an elliptic–hyperbolic system.
2009-038 Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro and Terence Tao:
Operator splitting for the KdV equation.
2009-037 Harald Hanche-Olsen and Helge Holden:
The Kolmogorov–Riesz compactness theorem.
2009-036 Helge Kristian Jenssen and Trygve K. Karper:
1D compressible flow with temperature dependent transport coefficients.
2009-035 Kenneth H. Karlsen and Trygve K. Karper:
A convergent nonconforming finite element method for compressible Stokes flow.
2009-034 Alain-Yves LeRoux:
The linear appearance theorem for a class of non linear non homogeneous hyperbolic systems involving a transport equation.
2009-033 François Bouchut and Vladimir Zeitlin:
A robust well-balanced scheme for multi-layer shallow water equations.
2009-032 François Bouchut and Tomás Morales de Luna:
A subsonic-well-balanced reconstruction scheme for shallow water flows.
2009-031 Jishan Fan, Song Jiang and Yaobin Ou:
A blow-up criterion for compressible viscous heat-conductive flows.
2009-030 I. H. Biswas, E. R. Jakobsen and K. H. Karlsen:
Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE.
2009-029 Simone Cifani, Espen R. Jakobsen and Kenneth H. Karlsen:
The discontinuous Galerkin method for fractal conservation laws.
2009-028 João Paulo Dias, Mario Figueira and Hermano Frid:
Vanishing viscosity with short wave long wave interactions for systems of conservation laws.
2009-027 Darko Mitrovic:
Existence and Uniqueness for Multidimensional Scalar Conservation Law with Discontinuous Flux.
2009-026 Hermano Frid and Jean C. Silva:
Homogenization of Nonlinear PDE's in the Fourier–Stieltjes Algebras.
2009-025 Juhi Jang and Ning Jiang:
Acoustic limit of the Boltzmann equation: Classical solutions.
2009-024 Ning Jiang, C. David Levermore and Nader Masmoudi:
Remarks on the acoustic limit for the Boltzmann equation.
2009-023 Ning Jiang and C. David Levermore:
Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy.
2009-022 Alberto Bressan, Helge Holden and Xavier Raynaud:
Lipschitz metric for the Hunter–Saxton equation.
2009-021 Helge Kristian Jenssen and Irina Kogan:
Systems of hyperbolic conservation laws with prescribed eigencurves.
2009-020 Stéphane Junca and Bruno Lombard:
Dilatation of a one-dimensional nonlinear crack impacted by a periodic elastic wave.
2009-019 E.Yu. Panov:
Ultra-parabolic equations with rough coefficients. Entropy solutions and strong pre-compactness property.
2009-018 Erik Endres, Helge Kristian Jenssen and Mark Williams:
Singularly perturbed ODEs and profiles for stationary symmetric Euler and Navier–Stokes shocks.
2009-017 Guy Vallet and Petra Wittbold:
On a stochastic first order hyperbolic equation in a bounded domain.
2009-016 Kenneth H. Karlsen and Trygve K. Karper:
Convergence of a mixed method for a semi-stationary compressible Stokes system.
2009-015 Luigi Ambrosio, Gianluca Crippa, Alessio Figalli and Laura V. Spinolo:
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system.
2009-014 Helge Holden, Kenneth H. Karlsen and Darko Mitrovic:
Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function.
2009-013 Darko Mitrovic:
New entropy conditions for the scalar conservation law with discontinuous flux.
2009-012 F. Ancona and A. Marson:
Sharp convergence rate of the Glimm scheme for general nonlinear hyperbolic systems.
2009-010 Boris Andreianov, Paola Goatin and Nicolas Seguin:
Finite volume schemes for locally constrained conservation laws.
2009-009 Kun Xu and Zhaoli Guo:
Extended Gas Dynamic Equations for Microflows.
2009-008 Zhi-Qiang Shao:
Asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems with small BV data.
2009-007 Kenneth H. Karlsen and Suleyman Ulusoy:
Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations.
2009-006 D. Donatelli and P. Marcati:
Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method.
2009-005 Naoki Tsuge:
Large time decay of solutions to isentropic gas dynamics with spherical symmetry.
2009-004 Marek Brandner, Jiří Egermaier and Hana Kopincová:
Numerical methods for river flow modelling.
2009-003 Debora Amadori and Wen Shen:
The Slow Erosion Limit in a Model of Granular Flow.
2009-002 David H. Wagner:
Symmetric Hyperbolic Equations of Motion for a Hyperelastic Material.
2009-001 Boris Andreianov, Mostafa Bendahmane and Kenneth H. Karlsen:
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations.

2008 Preprints

2008-041 Jinghua Wang:
Regularity of entropy solutions.
2008-040 Knut Waagan:
A positive MUSCL–Hancock scheme for ideal magnetohydrodynamics.
2008-039 Kenneth H. Karlsen and Trygve K. Karper:
Convergent finite element methods for compressible barotropic Stokes systems.
2008-038 Helge Holden, Nils Henrik Risebro and Hilde Sande:
Front tracking for a model of immiscible gas flow with large data.
2008-037 Naoki Tsuge:
Global L^∞ solutions of the compressible Euler Equations with spherical symmetry.
2008-036 G. M. Coclite, K. H. Karlsen and Y.-S. Kwon:
Initial-boundary value problems for conservation laws with source terms and the Degasperis–Procesi equation.
2008-035 Blake Temple and Robin Young:
A Liapunov-Schmidt Reduction for Time-Periodic Solutions of the Compressible Euler Equations.
2008-034 Blake Temple and Robin Young:
Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors.
2008-033 Blake Temple and Robin Young:
A Paradigm for Time-Periodic Sound Wave Propagation in the Compressible Euler Equations.
2008-032 Robin Young:
Global Wave Interactions in Isentropic Gas Dynamics.
2008-031 Boris Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen and Stanislas Ouaro:
Well-posedness results for triply nonlinear degenerate parabolic equations.
2008-030 Tao Tang, Jinghua Wang and Yinchuan Zhao:
Regularity and Global Structure of Solutions to Hamilton–Jacobi equations II. Convex initial data.
2008-029 K. R. Arun and Phoolan Prasad:
3-D kinematical Conservation Laws: Equations of Evolution of a Surface.
2008-028 S. Jaisankar and S.V. Raghurama:
A Central Rankine Hugoniot Solver for Hyperbolic Conservation Laws.
2008-027 Darko Mitrović:
On a strong precompactness of velocity averages for a heterogenous transport equation with rough coefficients.
2008-026 K.R. Arun, M. Kraft and M. Lukáčová-Medviďová:
Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions.
2008-025 K.R. Arun, M. Lukáčová-Medviďová, S.V. Raghurama and Phoolan Prasad:
An application of 3-D kinematical conservation laws: Propagation of a three dimensional wavefront.
2008-024 Yossi Farjoun and Benjamin Seibold:
An exactly conservative particle method for one dimensional scalar conservation laws.
2008-023 Debora Amadori and Wen Shen:
Global Existence of Large BV Solutions in a Model of Granular Flow.
2008-022 E.Yu. Panov:
On the strong pre-compactness property for entropy solutions of an ultra-parabolic equation with discontinuous flux.
2008-021 Misha Perepelitsa:
Asymptotics toward rarefaction waves and vacuum for 1-d Compressible Navier–Stokes equations.
2008-020 Jan Giesselmann:
A convergence result for finite volume schemes on 2-dimensional Riemannian manifolds.
2008-019 Alain-Yves LeRoux:
A mathematical model for tsunami generation using a conservative velocity-pressure hyperbolic system.
2008-018 François Bouchut, Christian Klingenberg and Knut Waagan:
A multiwave approximate Riemann solver for ideal MHD based on relaxation II – Numerical implementation with 3 and 5 waves.
2008-017 E.Yu. Panov:
On weak convergence of entropy solutions to scalar conservation laws.
2008-016 E.Yu. Panov:
On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux.
2008-015 Jiale Hua, Zaihong Jiang and Tong Yang:
A New Glimm Functional and Convergence Rate of Glimm Scheme for General Systems of Hyperbolic Conservation Laws.
2008-014 Erik Endres and Helge Kristian Jenssen:
Compressible 1-D Euler Equations with Large Data: A Case Study.
2008-013 Erik Endres, Helge Kristian Jenssen and Mark Williams:
Symmetric Euler and Navier–Stokes shocks in stationary barotropic flow on a bounded domain.
2008-012 Helge Holden and Xavier Raynaud:
Dissipative solutions for the Camassa–Holm equation.
2008-011 Darko Mitrovic, Vladimir Danilov, Velibor Bojkovic:
Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process.
2008-010 Alain-Yves LeRoux:
Sound traveling-waves in wind instruments as solutions to non linear non homogeneous gas dynamics equations.
2008-009 Yong-Jung Kim and Young-Ran Lee:
Structure of fundamental solutions of a conservation law without convexity.
2008-008 Corrado Mascia and Kevin Zumbrun:
Spectral stability of weak relaxation shock profiles.
2008-007 Misha Perepelitsa:
Dynamics of the density discontinuity interface. A transversal contact problem.
2008-006 Giuseppe Maria Coclite, Kenneth H. Karlsen and Nils Henrik Risebro:
An explicit finite difference scheme for the Camassa–Holm equation.
2008-005 Marte Godvik and Harald Hanche-Olsen:
Car-following and the macroscopic Aw–Rascle traffic flow model.
2008-004 Michaël Baudin, Frédéric Coquel and Quang Huy Tran:
A relaxation method via the Born–Infeld system.
2008-003 Quang Huy Tran:
Second-order slope limiters for the simultaneous linear advection of (not so) independent variables.
2008-002 Yossi Farjoun and Benjamin Seibold:
Solving one dimensional scalar conservation laws by particle management.
2008-001 Stefan Diehl:
A uniqueness condition for non-linear convection-diffusion equations with discontinuous coefficients.

2007 Preprints

2007-032 V.M. Shelkovich:
Singular solutions to systems of conservation laws: shocks, δ- and δ'-shocks.
2007-031 V.M. Shelkovich:
Multidimensional delta-shocks and the transportation and concentration processes.
2007-030 Camillo De Lellis and László Székelyhidi:
On admissibility criteria for weak solutions of the Euler equation.
2007-029 F. G. Fuchs, K. H. Karlsen, S. Mishra and N. H. Risebro:
Stable upwind schemes for the magnetic induction equation.
2007-028 E.Yu. Panov:
On the Dirichlet problem for first order quasilinear equations on a manifold.
2007-027 Helge Holden, Nils Henrik Risebro and Hilde Sande:
The solution of the Cauchy problem with large data for a model of a mixture of gases.
2007-026 Gui-Qiang Chen, Nadine Even and Christan Klingenberg:
Hyperbolic Conservation Laws with Discontinuous Fluxes and Hydrodynamic Limit for Particle Systems.
2007-025 Steinar Evje and Kenneth H. Karlsen:
Global existence of weak solutions for a viscous two-phase model.
2007-024 Jun Chen:
Subsonic Flows for the Full Euler Equations in Half Plane.
2007-023 Rinaldo M. Colombo and Mauro Garavello:
Phase Transition Model for Traffic at a Junction.
2007-022 Yong-Jung Kim and Youngsoo Ha:
Fundamental solutions of conservation laws.
2007-021 Thomas Curtright and David Fairlie:
Euler Incognito.
2007-020 Christian Rohde and Wen-An Yong:
Dissipative Entropy and Global Smooth Solutions for Radiation Hydrodynamics and Magnetohydrodynamics.
2007-019 Alberto Bressan and Carlotta Donadello:
On the Convergence of Viscous Approximations After Shock Interactions.
2007-018 Raimund Bürger, Antonio García, Kenneth H. Karlsen and John D. Towers:
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model.
2007-017 Mikio Akamatsu, Katsuhiro Watanabe and Toshiyuki Arima:
Mach-uniform accuracy and efficiency of a semi-implicit/explicit algorithm to solve compressible Euler equations for general fluids.
2007-016 H. Holden, K. H. Karlsen and N. H. Risebro:
A convergent finite difference method for a nonlinear variational wave equation.
2007-015 Alexander Dressel and Christian Rohde:
Time-asymptotic behaviour of weak solutions for a viscoelastic two-phase model with nonlocal capillarity.
2007-014 Eitan Tadmor and Weigang Zhong:
Energy-preserving and stable approximations for the two-dimensional shallow water equations.
2007-013 Roger Robyr:
SBV regularity of entropy solutions for a class of genuinely nonlinear scalar balance laws with non-convex flux function.
2007-012 Bin Cheng and Eitan Tadmor:
Long time existence of smooth solutions for the rapidly rotating shallow-water and Euler equations.
2007-011 Raimund Bürger, Kenneth H. Karlsen and John D. Towers:
An Engquist–Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections.
2007-010 Alexander Dressel and Christian Rohde:
Global existence and uniqueness of solutions for a viscoelastic two-phase model with nonlocal capillarity.
2007-009 E.Yu. Panov:
Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux.
2007-008 Gunilla Kreiss, Heinz-Otto Kreiss and Jens Lorenz:
Stability of Viscous Shocks on Finite Intervalls.
2007-007 Sebastian Noelle, Yulong Xing, and Chi-Wang Shu:
High Order Well-balanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water.
2007-006 Xiao-Biao Lin:
Gearhart–Prüss Theorem and linear stability for Riemann solutions of conservation laws.
2007-005 T. Li and H. Liu:
Critical thresholds in a relaxation model for travel flows.
2007-004 H. Liu and Z.M. Wang:
A Field Space-based Level set Method for Computing Multi-valued Solutions.
2007-003 Kenneth Hvistendahl Karlsen, Michel Rascle and Eitan Tadmor:
On the existence and compactness of a two-dimensional resonant system of conservation laws.
2007-002 Misha Perepelitsa:
The Navier–Stokes equations for the motion of compressible, viscous fluid flows with the no-slip boundary condition.
2007-001 Marte Godvik and Harald Hanche-Olsen:
Existence of solutions for the Aw–Rascle traffic flow model with vacuum.

2006 Preprints

2006-058 Misha Perepelitsa:
A Model Problem for the Motion of a Compressible, Viscous Fluid Flow with the No-Slip Boundary Condition.
2006-057 V.G. Danilov and D. Mitrovic:
Delta shock wave formation in the case of triangular hyperbolic system of conservation laws.
2006-056 S. Albeverio and V.M. Shelkovich:
On the Delta-Shock Front Problem.
2006-055 Christian Klingenberg, Wolfram Schmidt and Knut Waagan:
Numerical comparison of Riemann solvers for astrophysical hydrodynamics.
2006-054 Wen Shen:
On the Shape of Avalanches.
2006-053 V.M. Shelkovich:
On delta-shocks and singular shocks.
2006-052 Christophe Chalons and Paola Goatin:
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling.
2006-051 Christophe Chalons:
Transport-Equilibrium Schemes for Computing Nonclassical Shocks. Scalar Conservation Laws.
2006-050 Katja Baumbach and Maria Lukáčová-Medviďová:
On the Comparison of Evolution Galerkin and Discontinuous Galerkin Schemes.
2006-049 Wen Shen and Zhengfu Xu:
Vanishing Viscosity Approximation to Hyperbolic Conservation Laws.
2006-048 Knut Waagan:
Convergence rate of monotone numerical schemes for Hamilton-Jacobi equations with weak boundary conditions.
2006-047 Cleopatra Christoforou:
Systems of Hyperbolic Conservation Laws with Memory.
2006-046 Kenneth H. Karlsen, Siddhartha Mishra and Nils Henrik Risebro:
Well-Balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation.
2006-045 E. Yu. Panov:
Existence of strong traces for quasi-solutions of multidimensional scalar conservation laws.
2006-044 Jiequan Li and Yuxi Zheng:
Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations.
2006-043 F. Bouchut, C. Klingenberg, and K. Waagan:
A multiwave approximate Riemann solver for ideal MHD based on relaxation I – Theoretical framework.
2006-042 S. Sazhenkov:
Effective Thermoviscoelasticity of a Saturated Porous Ground.
2006-041 V. G. Danilov:
On singularities of conservation equation solution. (Updated 2006-11-10.)
2006-040 Raimund Bürger, Antonio García, Kenneth H. Karlsen and John D. Towers:
A family of schemes for kinematic flows with discontinuous flux.
2006-039 Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, and Mengping Zhang:
Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes.
2006-038 Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro:
A convergent finite difference scheme for the Camassa–Holm equation with general H¹ initial data.
2006-035 Helge Holden and Xavier Raynaud:
Periodic conservative solutions of the Camassa–Holm equation.
2006-034 Yann Brenier:
L² formulation of multidimensional scalar conservation laws.
2006-033 V. G. Danilov:
Remarks on vacuum state and uniqueness of concentration process.
2006-032 Eitan Tadmor and Dongming Wei:
On the global regularity of sub-critical Euler–Poisson equations with pressure.
2006-031 T. Tang, J.-H. Wang and Y.-C. Zhao:
On the piecewise smoothness of entropy solutions to scalar conservation laws for a large class of initial data.
2006-030 Song Jiang and Wenjun Sun:
A second-order BGK scheme for the equations of radiation hydrodynamics.
2006-029 Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, and Mengping Zhang:
Central Discontinuous Galerkin Methods on Overlapping Cells with a Non-Oscillatory Hierarchical Reconstruction.
2006-028 Donatella Donatelli and Pierangelo Marcati:
A dispersive approach to the artificial compressibility approximations of the Navier Stokes equations in 3-D.
2006-027 Gui-Qiang Chen, Cleopatra Christoforou and Yongqian Zhang:
Dependence of Entropy Solutions in the Large for the Euler Equations on Nonlinear Flux Functions.
2006-026 Matania Ben-Artzi and Jiequan Li:
Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem.
2006-025 Gui-Qiang Chen, Constantine Dafermos, Marshall Slemrod, and Dehua Wang:
On Two-Dimensional Sonic-Subsonic Flow.
2006-024 Xiao-Biao Lin:
Slow eigenvalues of self-similar solutions of the Dafermos regularization of a system of conservation laws: An analytic approach.
2006-023 Alberto Bressan and Adrian Constantin:
Global Dissipative Solutions of the Camassa–Holm Equation.
2006-022 Alberto Bressan and Wen Shen:
Optimality Conditions for Solutions to Hyperbolic Balance Laws.
2006-021 Stefano Bianchini and Laura V. Spinolo:
The boundary Riemann solver coming from the real vanishing viscosity approximation.
2006-020 Xiao-Biao Lin:
Analytic Semigroup Generated by the Linearization of a Riemann–Dafermos Solution.
2006-019 Xiao-Biao Lin:
L² semigroup and linear stability for Riemann solutions of conservation laws.
2006-018 Helge Holden and Xavier Raynaud:
Global conservative solutions of the generalized hyperelastic-rod wave equation.
2006-017 Kenneth H. Karlsen, Siddhartha Mishra and Nils Henrik Risebro:
Convergence of finite volume schemes for triangular systems of conservation laws.
2006-016 Cleopatra Christoforou:
Uniqueness and Sharp Estimates on Solutions to Hyperbolic Systems with Dissipative Source.
2006-015 Gui-Qiang Chen and Cleopatra Christoforou:
Solutions for a Nonlocal Conservation Law with Fading Memory.
2006-014 Gui-Qiang Chen and Mikhail Feldman:
Global Solutions of Shock Reflection by Large-Angle Wedges for Potential Flow.
2006-013 Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro:
Numerical schemes for computing discontinuous solutions of the Degasperis–Procesi equation.
2006-012 Xinhua Zhong and Song Jiang:
Local existence and finite-time blow-up in multidimensional radiation hydrodynamics.
2006-011 Helge Holden and Xavier Raynaud:
Global conservative multipeakon solutions of the Camassa-Holm equation.
2006-010 Shi Jin and Xiaomei Liao:
A Hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media.
2006-009 N. Costanzino, H. K. Jenssen, G. Lyng, and M. Williams:
Existence and stability of curved multidimensional detonation fronts.
2006-008 Kristen DeVault, Pierre Gremaud, and Helge Kristian Jenssen:
Numerical investigation of cavitation in multi-dimensional compressible flows.
2006-007 Chunjin Lin, Jean-Francois Coulombel, and Thierry Goudon:
Shock profiles for non-equilibrium radiating gases.
2006-006 Song Jiang, Guoxi Ni, and Wenjun Sun:
Vanishing viscosity limit to rarefaction waves for the Navier-Stokes equations of one-dimensional compressible heat-conducting fluids.
2006-005 Francois Bouchut and Gianluca Crippa:
On the relations between uniqueness for the Cauchy problem and existence of smooth approximations for linear transport equations.
2006-004 Giuseppe Maria Coclite and Kenneth Hvistendahl Karlsen:
On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation.
2006-003 J. A. Carrillo, M. Di Francesco, and C. Lattanzio:
Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws.
2006-002 Peng Zhang:
Characteristic parameters of a wide cluster in a higher-order traffic flow.
2006-001 Helge Holden and Xavier Raynaud:
Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view.

2005 Preprints

2005-055 A. Yu. Khrennikov and V. M. Shelkovich:
On the algebraic aspect of singular solutions to conservation laws systems.
2005-054 Wen Chen:
Fractional and fractal derivatives modeling of turbulence.
2005-053 V. M. Shelkovich:
The Riemann problem admitting δ′-shock wave type solution (the vanishing viscosity approach).
2005-052 Paola Goatin:
The Aw–Rascle traffic flow model with phase transitions.
2005-051 E.Yu. Panov:
On symmetrizability of hyperbolic matrix spaces.
2005-050 E.Yu. Panov:
Prolonged systems for a scalar conservation law and entropies of higher order.
2005-049 E.Yu. Panov:
On infinite dimensional systems of conservation laws of Keyfitz-Kranzer type.
2005-048 A.-Y. LeRoux and M.-N. LeRoux:
A Mathematical model for rogue waves, using Saint Venant equations with friction.
2005-047 S. Bianchini, B. Hanouzet, and R. Natalini:
Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy.
2005-046 Jorge Balbas and Eitan Tadmor:
Non-oscillatory central schemes for one- and two-dimensional MHD equations. II: high-order semi-discrete schemes.
2005-045 Eitan Tadmor, Michel Rascle, and Patrizia Bagnerini:
Compensated compactness for 2D conservation laws.
2005-044 Eitan Tadmor and Terence Tao:
Velocity averaging, kinetic formulations and regularizing effects in quasilinear PDEs.
2005-043 Riccardo Fazio and Giovanni Russo:
A Lagrangian central scheme for interface problems.
2005-042 F. Bouchut, H. Ounaissa, and B. Perthame:
Upwinding of source term at interfaces for Euler equations with high friction.
2005-041 Jakov Foukzon:
New scenario for transition to slow 3-D turbulence.
2005-040 Mostafa Bendahmane, Giuseppe Maria Coclite, and Kenneth H. Karlsen:
H¹-perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation.
2005-039 W. Shen and M. Park:
Optimal tracing of viscous shocks in solutions of viscous conservation laws.
2005-038 Bruno Lombard and Joel Piraux:
Modeling 1-D elastic P-waves in a fractured rock with hyperbolic jump conditions.
2005-037 V.G. Danilov, D. Mitrovic, and J. Susic:
A note on the shock wave formation process for scalar conservation laws.
2005-036 Youngsoo Ha and Yong-Jung Kim:
Explicit solutions of a convection-reaction equation and defects of difference schemes.
2005-035 Jiequan Li, Tong Zhang, and Yuxi Zheng:
Simple waves and a characteristic decomposition of the two dimensional compressible Euler equations.
2005-034 Helge Holden, Kenneth H. Karlsen, and Nils Henrik Risebro:
Convergent difference schemes for the Hunter–Saxton equation.
2005-033 Xiaqi Ding:
On a lemma Of DiPerna And Chen.
2005-032 Laura V. Spinolo:
Vanishing viscosity solutions of a 2×2 triangular hyperbolic system with Dirichlet conditions on two boundaries.
2005-031 P. Zhang, S. C. Wong, and C.-W. Shu:
A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway.
2005-030 P. Zhang, R. X. Liu, S. C. Wong, and S. Q. Dai:
Hyperbolicity and kinematic waves of a class of multi-population partial differential equations.
2005-029 Wenjun Sun, Song Jiang, and Zhenhua Guo:
Helically symmetric solutions to the 3-D Navier-Stokes equations for compressible isentropic fluids.
2005-028 G. M. Coclite and K. H. Karlsen:
On the well-posedness of the Degasperis-Procesi equation.
2005-027 Maria Lukacova-Medvidova, Sebastian Noelle, and Marcus Kraft:
Well-balanced finite volume evolution Galerkin methods for the shallow water equations.
2005-026 Francois Bouchut and Hermano Frid:
Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems.
2005-025 Matania Ben-Artzi, Jiequan Li, and Gerald Warnecke:
A direct Eulerian GRP scheme for compressible fluid flows.
2005-024 Shi Jin and Xin Wen:
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with transmissions and reflections.
2005-023 Shi Jin and Xin Wen:
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds.
2005-022 Shi Jin and Xin Wen:
Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials.
2005-021 T.R. Hagen, J. M. Hjelmervik, K-A. Lie, J.R. Natvig, and M. Ofstad Henriksen:
Visual simulation of shallow-water waves.
2005-020 Sebastian Noelle, Normann Pankratz, Gabriella Puppo, and Jostein R. Natvig:
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows.
2005-019 Christian Rohde and Wen-An Yong:
The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem.
2005-018 Alberto Bressan and Massimo Fonte:
An optimal transportation metric for solutions of the Camassa-Holm equation.
2005-017 G. M. Coclite and K. H. Karlsen:
A singular limit problem for conservation laws related to the Camassa–Holm shallow water equation.
2005-016 Alberto Bressan and Adrian Constantin:
Global conservative solutions of the Camassa–Holm equation.
2005-015 Jean-Francois Coulombel:
Stability of finite difference schemes for hyperbolic systems in two space dimensions.
2005-014 Peter Howard and Mohammadreza Raoofi:
Pointwise asymptotic behavior of perturbed viscous shock profiles.
2005-013 Bachir Ben Moussa:
On the convergence of SPH method for scalar conservation laws with boundary conditions.
2005-012 E. Yu. Panov and V. M. Shelkovich:
δⁿ-shock wave as a new type solutions of hyperbolic systems of conservation laws.
2005-011 Yuxi Zheng:
Two-dimensional regular shock reflection for the pressure gradient system of conservation laws.
2005-010 Alberto Bressan and Yuxi Zheng:
Conservative Solutions to a Nonlinear Variational Wave Equation.
2005-009 Alberto Bressan, Helge Kristian Jenssen and Paolo Baiti:
An Instability of the Godunov Scheme.
2005-008 Giuseppe M. Coclite, Helge Holden and Kenneth H. Karlsen:
Global weak solutions to a generalized hyperelastic-rod wave equation.
2005-007 Giuseppe M. Coclite, Helge Holden and Kenneth H. Karlsen:
Wellposedness for a parabolic-elliptic system.
2005-006 Alberto Bressan and Adrian Constantin:
Global solutions of the Hunter–Saxton equation.
2005-005 Marek Brandner and Stanislav Míka:
Wave decomposition in Riemann problems for heterogeneous media.
2005-004 Helge Holden and Xavier Raynaud:
A convergent numerical scheme for the Camassa–Holm equation based on multipeakons.
2005-003 M. V. Korobkov and E. Yu. Panov:
On isentropic solutions of first-order quasilinear equations.
2005-002 E. Yu. Panov:
On correctness classes of locally bounded generalized entropy solutions to Cauchy problem for first order quasilinear equations.
2005-001 E. Yu. Panov:
Existence of strong traces for generalized solutions of multidimensional scalar conservation laws.

2004 Preprints

2004-074 P.G LeFloch and V. Shelukhin:
Symmetries and global solvability of the isothermal gas dynamics equations.
2004-073 P.G LeFloch and M. Shearer:
Nonclassical Riemann solvers with nucleation.
2004-072 N. Bedjaoui, C. Klingenberg, and P.G. LeFloch:
On the validity of the Chapman-Enskog expansion for shock waves with small strength.
2004-071 J. Härterich and K. Sakamoto:
Front motion in viscous conservation laws with stiff source terms.
2004-070 A. E. Tzavaras:
Relative entropy in hyperbolic relaxation.
2004-069 G.-Q. Chen and M. Feldman:
Existence and stability of multidimensional transonic flows through an infinite nozzle of arbitrary cross-sections.
2004-068 G. Gagneux, R. Luce, and G. Vallet:
A non standard free-boundary problem arising from stratigraphy.
2004-067 M. Brandner and S. Mika:
On the approximation of the non-autonomous nonlinear Riemann problem.
2004-066 M. Portilheiro and A. E. Tzavaras:
Hydrodynamic limits for kinetic equations and the diffusive approximation of radiative transport for acoustic waves.
2004-065 C. Lattanzio and A. E. Tzavaras:
Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics.
2004-064 L. Pareschi, G. Puppo, and G. Russo::
Central Runge-Kutta schemes for hyperbolic conservation laws.
2004-063 L. Pareschi and G. Russo:
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation.
2004-062 J.-F. Coulombel and T. Goudon:
The strong relaxation limit of the multidimensional isothermal Euler equations.
2004-061 D. Serre:
Hyperbolic-elliptic systems of conservation laws.
2004-060 S. Bianchini:
Hyperbolic limit of the Jin–Xin relaxation model.
2004-059 V. M. Shelkovich:
Delta-shocks, the Rankine–Hugoniot conditions, and singular superposition of distributions.
2004-058 R. Loubere and M. Shashkov:
A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods.
2004-057 L. Ambrosio and C. De Lellis:
A Note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations.
2004-056 C. De Lellis:
Blow-up of the BV norm in the multidimensional Keyfitz and Kranzer system.
2004-055 L. Ambrosio, F. Bouchut,C. De Lellis:
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions.
2004-054 C. De Lellis, F. Otto, and M. Westdickenberg:
Minimal entropy conditions for Burgers equations.
2004-053 C. De Lellis and T. Rivière:
Concentration estimates for entropy measures.
2004-052 L. Ambrosio and C. De Lellis:
Existence of solutions for a class of hyperbolic systems of conservations laws in several space dimensions.
2004-051 C. De Lellis and F. Otto:
Structure of entropy solutions to the Eikonal equation.
2004-050 C. De Lellis, F. Otto, and M. Westdickenberg:
Structure of entropy solutions for multi-dimensional conservation laws.
2004-049 C. De Lellis and M. Westdickenberg:
On the optimality of velocity averaging lemmas.
2004-048 J. Ehrt and J. Härterich:
Asymptotic behavior of spatially inhomogeneous balance laws.
2004-047 G. Barles and E. R. Jakobsen:
Error bounds for monotone approximation schemes for Hamilton–Jacobi–Bellman equations.
2004-046 E. R. Jakobsen:
On error bounds for monotone approximation schemes for multi-dimensional Isaacs equations.
2004-045 A.-Y. LeRoux and M.-N. LeRoux:
Source waves.
2004-044 H. K. Jenssen, G. Lyng, and M. Williams:
Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion.
2004-043 Y. Liu:
Central schemes on overlapping cells.
2004-042 S. Ukai, T. Yang, and H. Zhao:
Global solutions to the Boltzmann equation with external forces.
2004-041 P. Howard and K. Zumbrun:
Stability of undercompressive shock profiles.
2004-040 C. Rohde:
phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy.
2004-039 P. Baiti, A. Bressan and H. K. Jenssen:
Instability of Travelling Wave Profiles for the Lax–Friedrichs scheme.
2004-038 H. Holden and X. Raynaud:
Convergence of a finite difference scheme for the Camassa–Holm equation.
2004-037 K.-A. Lie and R. Juanes:
A front-tracking method for the simulation of three-phase flow in porous media.
2004-036 E. R. Jakobsen and K. H. Karlsen:
Continuous dependence estimates for viscosity solutions of integro-PDEs.
2004-035 H. J. Schroll and F. Svensson:
A bi-hyperbolic finite volume method on quadrilateral meshes.
2004-034 Y. Brenier:
Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics.
2004-033 V. G. Danilov:
Remarks on the formation and decay of multidimensional shock waves.
2004-032 D. Zeidan, E. F. Toro and A. Slaouti:
On the Riemann Problem for a Hyperbolic Two-Phase Flow Model.
2004-031 M. Bendahmane and K. H. Karlsen:
Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations.
2004-030 Corrado Mascia and Kevin Zumbrun:
Stability of large-amplitude shock profiles of general relaxation systems.
2004-029 A. St-Cyr and S. J. Thomas:
Nonlinear operator integration factor splitting for the shallow water equations.
2004-028 S. Baskar and P. Prasad:
Propagation of curved shock fronts using shock ray theory and comparison with other theories.
2004-027 T. Yang, H. Yu, and H. Zhao:
Cauchy problem for the Vlasov-Poisson-Boltzmann system.
2004-026 T. Yang and H. Zhao:
A half-space problem for the Boltzmann equation with specular reflection boundary condition.
2004-025 E. Tadmor:
Burgers' equation with vanishing hyper-viscosity.
2004-024 F. Bouchut, F. James, and S. Mancini:
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient.
2004-023 G-Q. Chen and M. Torres:
Divergence-measure fields, sets of finite perimeter, and conservation laws.
2004-022 S. Qamar and G. Warnecke:
A high order kinetic flux-splitting method for the relativistic magnetohydrodynamics.
2004-021 S. Qamar and G. Warnecke:
A high order kinetic flux-splitting method for the special relativistic hydrodynamics.
2004-020 A. Bressan, P. Zhang and Y. Zheng:
On asymptotic variational wave equations.
2004-019 S. Sazhenkov:
The genuinely nonlinear non-isotropic ultra-parabolic equation.
2004-018 F. Colombini, T. Luo and J. Rauch:
Nearly Lipshitzean divergence free transport does not propagate continuity and BV regularity.
2004-017 F. Colombini, T. Luo and J. Rauch:
Uniqueness and nonuniquess for nonsmooth divergence free transport.
2004-016 F. Colombini, T. Luo and J. Rauch:
C¹ measure respecting maps preserve bv iff they have bounded derivative.
2004-015 T. Luo and J. Smoller:
Rotating fluids with self-gravitation in bounded domains.
2004-014 A-Y. LeRoux and M-N. LeRoux:
A mathematical model for hurricanes.
2004-013 S. Jiang and G. Ni:
A second-order γ-model BGK scheme for multimaterial compressible flows.
2004-012 H. K. Jenssen and R. Young:
Gradient driven and singular flux blowup of smooth solutions to hyperbolic conservation laws.
2004-011 T. Luo and T. Yang:
Global structure and asymptotic behavior of weak solutions to flood wave equations.
2004-010 G. Guerra:
Well-posedness for a scalar conservation law with singular non-conservative source.
2004-009 J.-F. Coulombel:
Well-posedness of hyperbolic initial boundary value problems.
2004-008 J. Wang, H. Wen and T. Zhou:
On large time step Godunov scheme for hyperbolic conservation laws.
2004-007 M. Lewicka:
On the well posedness for hyperbolic systems of conservation laws with large BV data.
2004-006 S. Sazhenkov:
Application of the method of kinetic equation to the Darcy–Stefan problem.
2004-005 K. H. Karlsen and J. D. Towers:
Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux.
2004-004 P. G. LeFloch and K. Trivisa:
Continuous Glimm-type functionals and spreading of rarefaction waves.
2004-003 G.-Q. Chen and K. H. Karlsen:
L^1-framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations.
2004-002 E. Yu. Panov:
On isentropic solutions to first order quasilinear equations.
2004-001 Y. Lu:
Some results on general system of isentropic gas dynamics.

2003 Preprints

2003-078 V. Danilov and D. Mitrovic:
Weak asymptici of shock wave formation process.
2003-077 S. Mishra:
Convergence of upwind finite difference algorithms for scalar conservation laws with indefinite discontinuitites in the flux function.
2003-076 B. Toth and B. Valko:
Perturbation of singular equilibria of hyperbolic two-component systems: a universal hydrodynamic limit.
2003-075 J. Fritz and B. Toth:
Derivation of the Leroux system as the hydrodynamic limit of a two-component lattice gas.
2003-074 B. Toth and B. Valko:
Onsager relations and Eulerian hydrodynamic limit for systems with several conservation laws.
2003-073 S. Evje and T. Flåtten:
A mixture flux approach for accurate and robust resolution of two-phase flows.
2003-072 S. Evje and T. Flåtten:
Weakly implicit numerical schemes for the two-fluid model.
2003-071 S. Evje and T. Flåtten:
CFL-free numerical schemes for the two-fluid model.
2003-070 S. Evje and T. Flåtten:
Comparison of various AUSM type schemes for the two-fluid model.
2003-069 A. Bressan and W. Shen:
Semi-cooperative strategies for differential games.
2003-068 V. G. Danilov and V. M. Shelkovich:
dynamics of propagation and interaction of delta-shock waves in conservation law systems.
2003-067 H. K. Jenssen and G. Lyng:
Low Frequency Stability of Multi-dimensional Inviscid Planar Detonation Waves.
2003-066 Y. Lu:
Existence of global entropy solutions to Euler equations of compressible fluid flow.
2003-065 S. Schecter and P. Szmolyan:
Composite waves in the Dafermos regularization.
2003-064 S Zhao and G.W. Wei:
High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces.
2003-063 H. Frid and V. Shelukhin:
Initial boundary value problems for a quasilinear parabolic system in three-phase capillary flow in porous media.
2003-062 J. Balbas, E. Tadmor, and C.-C. Wu:
Non-oscillatory central schemes for one- and two-dimensional MHD equations. I.
2003-061 T. Kröger and S. Noelle:
Numerical comparison of the method of transport to a standard scheme.
2003-060 T. Kröger, S. Noelle, and S. Zimmermann:
On the connection between some Riemann-Solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws.
2003-059 V. M. Shelkovich:
A specific hyperbolic system of conservation laws admitting delta-shock wave type solutions.
2003-058 C. Mascia and K. Zumbrun:
Stability of large-amplitude shock profiles for general relazation systems.
2003-057 C. Mascia and K. Zumbrun:
Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems.
2003-056 G. M. Coclite:
Control problems for systems of conservation law.
2003-055 F. De Vuyst and P. Jaisson:
PDE fluid modeling of multithread systems and optimal control.
2003-054 D. Hoff and H. K. Jenssen:
Symmetric nonbarotropic flows with large data and forces.
2003-053 H. Frid and M. Perepelitsa:
Spatially periodic solutions in relativistic isentropic gas dynamics.
2003-052 V. G. Danilov and V. M. Shelkovich:
Delta-shock wave type solution of hyperbolic systems of conservation laws.
2003-051 S. Schecter:
Existence of Dafermos profiles for singular shocks.
2003-050 H. Guillard and A. Murrone:
A five equation reduced model for compressible two phase flow problems.
2003-049 Adimurthi and G.D.Veerappa Gowda:
Neumann boundary conditions for Hamliton Jacobi equations in a quarter plane.
2003-048 E.Yu.Panov:
On the problem of symmetrizability for hyperbolic systems of first order.
2003-047 M. Lukacova-Medvidova, J. Saibertova, G. Warnecke, and Y. Zahaykah:
On evolution Galerkin methods for the Maxwell and the linearized Euler equations.
2003-046 M. Lukacova-Medvidova, G. Warnecke, and Y. Zahaykah:
On the boundary conditions for EG-methods applied to the two-dimensional wave equation system.
2003-045 M. Lukacova-Medvidova, G. Warnecke, and Y. Zahaykah:
Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system.
2003-044 E. Audusse, F. Bouchut, M.-O. Bristeau, R. Klein, and B. Perthame:
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows.
2003-043 B. N. Azarenok and T. Tang:
Second-order Godunov-type scheme for reactive flow calculations on moving meshes.
2003-042 A. Bressan and T. Yang:
On the convergence rate of vanishing viscosity approximations.
2003-041 G. M. Coclite and H. Holden:
Stability of solutions of quasilinear parabolic equations.
2003-040 E. R. Jakobsen and K. H. Karlsen:
A "maximum principle for semicontinuous functions" applicable to integro-partial differential equations.
2003-039 M. Bendahmane and K. H. Karlsen:
Renormalized entropy solutions for quasilinear anisotropic degenerate parabolic equations.
2003-038 H. Frid:
Asymptotic stability of non-planar Riemann solutions for a special class of multi-d systems of conservation laws.
2003-037 B. Ben Moussa and A. Szepessy:
Scalar conservation laws with boundary conditions and rough data measure solutions.
2003-036 H. Tang and G. Warnecke:
A class of high resolution schemes for hyperbolic conservation laws and convection–diffusion equations with varying time and space grids.
2003-035 H. Tang and G. Warnecke:
A note on (2k+1)-point conservative monotone schemes.
2003-034 H. Tang and G. Warnecke:
A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids.
2003-033 M. Lewicka:
Stability conditions for strong rarefaction waves
2003-032 M. Lewicka:
Lyapunov functional for solutions of systems of conservation laws containing a strong rarefaction.
2003-031 H. Tang:
A moving mesh method for the Euler flow calculations using a directional monitor function.
2003-030 A. Bressan and T. Yang:
A sharp decay estimate for positive nonlinear waves.
2003-029 W. Wanzhi, S. Jiang, and Y. Shourong:
MOCL - An algorithm for tracking interfaces in two-dimensional Eulerian codes.
2003-028 Y. Brenier:
Hydrodynamic structure of the augmented Born-Infeld equations.
2003-027 L. Gosse and P. A. Markowich:
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice; I. Homogeneous problems; vanishing exterior potentials.
2003-026 D. Zeidan, E. Toro and A. Slaouti:
Numerical simulation of compressible two-phase flow model based on the Riemann problem.
2003-025 S. Jin and S. Osher:
A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations.
2003-024 F. Huang and H. Zhao:
On the global stability of contact discontinuity for compressible Navier-Stokes equations.
2003-023 G. M. Coclite and N. H. Risebro:
Viscosity solutions of Hamilton-Jacobi equations with discontinuous coefficients.
2003-022 K. H. Karlsen, N. H. Risebro and J. D. Towers:
L¹ stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients.
2003-021 A. Bressan and W. Shen:
Small BV solutions of hyperbolic non-cooperative differential games.
2003-020 J.-F. Coulombel and P. Secchi:
The stability of compressible vortex sheets in two space dimensions.
2003-019 N. Andrianov and G. Warnecke:
On the solution to the Riemann problem for the compressible duct flow.
2003-018 F. Huang, A. Matsumura and X. Shi:
On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary.
2003-017 K. H. Karlsen, N. H. Risebro, and J. D. Towers:
Front tracking for scalar balance equations.
2003-016 M. Kunik, S. Qamar, and G. Warnecke:
A reduction of the Boltzmann-Peierls equation.
2003-015 D. Amadori, L. Gosse, and G. Guerra:
Godunov-type approximation for a general resonant balance law with large data.
2003-014 A. Bressan:
A lemma and a conjecture on the cost of rearrangements.
2003-013 A. Bressan:
An ill posed Cauchy problem for a hyperbolic system in two space dimensions.
2003-012 F. De Vuyst:
Stable and accurate hybrid finite volume methods based on pure convexity arguments for hyperbolic systems of conservation law.
2003-011 E. R. Jakobsen:
On the rate of convergence of approximation schemes for Bellman equations associated with optimal stopping time problems.
2003-010 E. R. Jakobsen:
$W^{2,\infty}$ regularizing effect in a nonlinear, degenerate parabolic equation in one space dimension.
2003-009 E. R. Jakobsen:
Error bounds for monotone approximation schemes for non-convex degenerate elliptic equations in $\mathbb{R}^1$.
2003-008 P. Goatin and P. LeFloch:
The Riemann problem for a class of resonant hyperbolic systems of balance laws.
2003-007 Withdrawn by the author.
2003-006 R. Bürger, K. H. Karlsen, N. H. Risebro, and J. D. Towers:
Well-posedness in $BV_t$ and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units.
2003-005 T. C. Sideris, B. Thomases, and D. Wang:
Long time behavior of solutions to the 3D compressible Euler equations with damping.
2003-004 M. Kunik, S. Qamar, and G. Warnecke:
BGK-type kinetic flux vector splitting scheme for the ultra-relativistic Euler equations.
2003-003 W.-A. Yong:
An entropy condition and global existence result for hyperbolic balance laws.
2003-002 R. Loubere, J. Ovadia, and R. Abgrall:
A Lagrangian discontinous Galerkin type method on unstructured meshes to solve hydrodynamics problems.
2003-001 G.-Q. Chen:
Some recent methods for partial differential equations of divergence form.

2002 Preprints

2002-059 Y. H. Sun, Y. C. Zhou, and G. W. Wei:
A practical spectral method for hyperbolic conservation laws.
2002-058 C. Mascia and K. Zumbrun:
Pointwise Green's function bounds for shock profiles of systems with real viscosity.
2002-057 F. De Vuyst, J.-M- Ghidaglia, and G. Le Coq:
On the numerical simulation of multiphase flows with changes of phase and strong gradients using the homogeneous equilibrium model.
2002-056 G. M. Coclite and N. H. Risebro:
Conservation laws with time dependent discontinuous coefficients.
2002-055 H. Frid:
Asymptotic stability of Riemann solutions for a class of multi-d viscous systems of conservation laws.
2002-054 B. Hanouzet and R. Natalini:
Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy.
2002-053 M. Lukacova-Medvidova, K.W. Morton, and G.Warnecke:
Finite volume evolution Galerkin (FVEG) methods for hyperbolic systems.
2002-052 G.-Q. Chen and D. Wagner:
Global entropy solutions to exothermically reacting, compressible Euler equations.
2002-051 F. Bouchut:
An antidiffusive entropy scheme for monotone scalar conservation laws.
2002-050 Not available
2002-049 E. Yu. Panov:
On kinetic formulation of measure valued and strong measure valued solutions.
2002-048 N. Andrianov and G. Warnecke:
The Riemann problem for the Baer-Nunziato model of two-phase flows.
2002-047 S. Schecter, B. J. Plohr, and D. Marchesin:
Computation of Riemann solutions using the Dafermos regularization and continuation.
2002-046 S. Berres, R. Bürger, and K. H. Karlsen:
Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions.
2002-045 S. Berres, R. Bürger, and E. M. Tory:
Mathematical model and numerical simulation of the liquid fluidization of polydisperse solid particle mixtures.
2002-044 Removed by request from the authors
2002-043 R. M. Colombo and A. Groli:
On the optimization of a conservation law.
2002-042 J.-F. Coulombel:
Weakly stable multi-d shocks.
2002-041 C. Lattanzio and P. Marcati:
Global well-posedness and relaxation limits of a model for radiating gas.
2002-040 M. Kunik, S. Qamar, and G. Warnecke:
Kinetic schemes for the relativistic gas dynamics.
2002-039 M. Kunik, S. Qamar, and G. Warnecke:
Kinetic schemes for the ultra-relativistic Euler equations.
2002-038 G.-Q. Chen and M. Feldman:
Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type.
2002-037 G.-Q. Chen and H. Frid:
Extended divergence-measure fields and the Euler equations for gas dynamics.
2002-036 F. Huang and Z. Wang:
Convergence of viscosity solutions for isothermal gas dynamics.
2002-035 F. Huang:
Weak solution to pressureless type system.
2002-034 K. H. Karlsen, C. Klingenberg, and N. H. Risebro:
A relaxation scheme for conservation laws with a discontinuous coefficient.
2002-033 F. Huang, A. Matsumura, and X. Shi:
A gas-solid free boundary problem for compressible viscous gas.
2002-032 F. Huang, A. Matsumura, and X. Shi:
Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas.
2002-031 J.-F. Coulombel:
Stability of multidimensional undercompressive shock waves.
2002-030 F. Bouchut:
A reduced stability condition for nonlinear relaxation to conservation laws.
2002-029 F.R. Guarguaglini, V. Milisic, and A. Terracina:
A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions.
2002-028 M. Laforest:
A posteriori error estimate for front-tracking for nonlinear systems of conservation laws.
2002-027 F. Ancona and G. M. Coclite:
On the attainable set for temple class systems with boundary controls.
2002-026 R. Bürger, K. H. Karlsen, N. H. Risebro, and J. D. Towers:
On a model for continuous sedimentation in vessels with discontinuously varying cross-sectional area.
2002-025 S. Berres, R. Bürger, K. H. Karlsen, and E. M. Tory:
Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression.
2002-024 P. Goatin:
One sided estimates and uniqueness for hyperbolic systems of balance laws.
2002-023 F. Berthelin and F. Bouchut:
Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy.
2002-022 M. J. Berger, C. Helzel, and R. J. LeVeque:
H-box methods for the approximation of hyperbolic conservation laws on irregular grids.
2002-021 Z. Zhang and T. Tang:
An adaptive mesh redistribution algorithm for convection-dominated problem.
2002-020 S. Schecter:
Undercompressive shock waves and the Dafermos regularization.
2002-019 X.-B. Lin and S. Schecter:
Stability of self-similar solutions of the Dafermos regularization of a system of conservation laws.
2002-018 J. Li, M. Lukacova-Medvidova, and G. Warnecke:
Evolution galerkin schemes applied to the two-dimensional Riemann problems for the wave equation system.
2002-017 M. Lukacova-Medvidova, J. Saibertova, and G. Warnecke:
Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
2002-016 B. N. Azarenok, S. A. Ivanenko, and T. Tang:
Godunov's scheme and moving adaptive grids.
2002-015 H. Tang, T. Tang, and P. Zhang:
An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions.
2002-014 S. Tang and H. Zhao:
Nonlinear stability of suliciu model for dynamic phase transitions.
2002-013 H. K. Jenssen and G. Lyng:
Evaluation of the lopatinski determinant for multi-dimensional Euler equations.
2002-012 G. M. Coclite and B. Piccoli:
Traffic flow on a road network.
2002-011 D. Aregba-Driollet and V. Milisic:
Kinetic approximation of a boundary value problem for conservation laws.
2002-010 F. De Vuyst:
Service time assessment in Computational Information Fluid Dynamics using level set methods.
2002-009 F. De Vuyst:
Feasibility of fluid transport modelling for buffer and processing systems : Information Fluid Dynamics.
2002-008 S. Jiang and P. Zhang:
Remarks on weak solutions to the Navier-Stokes equations for 2-D comprssible isothermal fluids with spherically symmetric initial data.
2002-007 G. W. Wei:
Shock capturing by anisotropic diffusion oscillation reduction.
2002-006 D. S. Bale, R. J. LeVeque, S. Mitran, and J. A. Rossmanith:
A wave propagation method for conservation laws and balance laws with spatially varying flux functions.
2002-005 A.-Y. Le Roux:
Several applications of generalized solutions in some examples of wave propagation.
2002-004 F. Berthelin and F. Bouchut:
Weak solutions for a hyperbolic system with unilateral constraint and mass loss.
2002-003 M. Seaid and M. K. Banda:
A class of the relaxation schemes for two-dimensional Euler systems of gas dynamics.
2002-002 R. Burger, H. Frid, and K. H. Karlsen:
On a free boundary problem for a strongly degenerate quasilinear parabolic equation with an application to a model of pressure filtration.
2002-001 G.-Q. Chen and D. Wang:
The Cauchy problem for the Euler equations for compressible fluids.

2001 Preprints

2001-053 T. Grahs and T. Sonar:
Discrete cell entropy inequalities for scalar conservation laws.
2001-052 Y. C. Zhou and G. W. Wei:
High resolution conjugate filters for the simulation of flows.
2001-051 H. Liu and E. Tadmor:
Spectral dynamics of the velocity gradient field in restricted flows.
2001-050 S. Bianchini and A. Bressan:
Vanishing viscosity solutions of nonlinear hyperbolic systems.
2001-049 R. Liska and B. Wendroff:
Comparison of several difference schemes on 1D and 2D test problems for the Euler equations.
2001-048 J.-F. Coulombel:
Weak stability of non uniformly stable multidimensional shocks.
2001-047 E.Yu.Panov:
On maximal and minimal generalized entropy solutions to Cauchy problem for a first-order quasilinear equation.
2001-046 P. Goatin and L. Gosse:
Decay of positive waves for $n \times n$ hyperbolic systems of balance laws.
2001-045 L. Gosse:
A nonconservative numerical approach for hyperbolic systems with source terms: the Well-Balanced schemes.
2001-044 Y. C. Zhou, Yun Gu, and G. W. Wei:
Shock-capturing with natural high frequency oscillations.
2001-043 B. N. Azarenok and S. A. Ivanenko:
Application of moving adaptive grids for numerical solution of 2-d nonstationary problems in gas dynamics.
2001-042 B. N. Azarenok:
Variational barrier method of adaptive grid generation in hyperbolic problem of gas dynamics.
2001-041 R. Bürger, J. J. R. Damasceno, and K. H. Karlsen:
A mathematical model for batch and continuous thickening of flocculent suspensions in vessels with varying cross section.
2001-040 R. Bürger, K. H. Karlsen, N. H. Risebro, and J. D. Towers:
Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units.
2001-039 R. Li, T. Tang, and P.-W. Zhang:
A moving mesh finite element algorithm for singular problems in two and three space dimensions.
2001-038 T. Tang, Z.-H. Teng, and Z.-P. Xin:
Fractional rate of convergence for viscous approximation tononconvex conservation laws.
2001-037 M. Banda and M. Seaid:
Higher-order relaxation schemes for hyperbolic systems of conservation laws.
2001-036 R. J. LeVeque:
Some traffic flow models illustrating interesting hyperbolic behavior.
2001-035 R. J. LeVeque:
Finite volume methods for nonlinear elasticity in heterogeneous media.
2001-034 Guy Barles and Espen R. Jakobsen:
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations.
2001-033 A. Bressan and G. M. Coclite:
On the boundary control of systems of conservation laws.
2001-032 K.-A. Lie and S. Noelle:
On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws.
2001-031 K.-A. Lie and S. Noelle:
An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions.
2001-030 N. Andrianov, R. Saurel, and G. Warnecke:
A simple method for compressible multiphase mixtures and interfaces.
2001-029 E. R. Jakobsen and K. Hvistendahl Karlsen:
Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations.
2001-028 J. Pan and G. Warnecke:
Asymptotic stability of traveling waves for viscous conservation laws with dissipation.
2001-027 C. Mascia and K. Zumbrun:
Pointwise Green's function bounds and stability of relaxation shocks.
2001-026 F. Huang and Z. Wang:
Well posedness for pressureless flow.
2001-025 J. Li and G. Warnecke:
Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
2001-024 J. Huang, J. Wang, and G. Warnecke:
Error bounds for the large time step Glimm scheme applied to scalar conservation laws.
2001-023 J. Wang and G. Warnecke:
Existence and uniqueness of solutions for a non-uniformly parabolic equation.
2001-022 K. H. Karlsen, N. H. Risebro, and J. D. Towers:
Convergence of an upwind difference scheme for degenerate parabolic convection-diffusion equations with a discontinuous coefficient.
2001-021 R. Bürger, K. H. Karlsen, C. Klingenberg, and N. H. Risebro:
A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units.
2001-020 Y. G. Rykov:
On the nonhamilton character of shocks in 2-D pressureless gas.
2001-019 R. Bürger, K. H. Karlsen, E. M. Tory, and W. L. Wendland:
Model equations and instability regions for the sedimentation of polydisperse suspensions of spheres.
2001-018 K. Xu:
A well-balanced gas-kinetic scheme for the shallow water equations with source terms.
2001-017 L. Gosse:
Localization effects and measure source terms in numerical schemes for balance laws.
2001-016 Y.-X. Kan, T. Tang, and Z.-H. Teng:
On the piecewisely smooth solutions to non-homogeneous scalar conservation laws.
2001-015 H. Fan and S. Jin:
Front motion in muti-dimensional conservation laws with stiff source terms driven by mean curvature and variation of front thickness.
2001-014 H.-Z. Tang and T. Tang:
Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws.
2001-013 K. H. Karlsen, N. H. Risebro, and J. D. Towers:
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient.
2001-012 M. Radyna:
Functionals with values in the non-Archimedean field of Laurent series and method for numerical calculations of shocks and soliton like solutions of some conservation laws.
2001-011 Kun Xu:
A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method.
2001-010 G. Puppo:
Numerical entropy production for central schemes.
2001-009 M. Küther:
A priori and a posteriori error estimates for the staggered Lax-Friedrichs scheme in multi-dimensions for scalar nonlinear conservation laws.
2001-008 S. Evje and K. H. Karlsen:
An error estimate for viscous approximate solutions of degenerate parabolic equations.
2001-007 V. Milisic:
Stability and convergence of discrete kinetic approximations to an initial-boundary value problem for conservation laws.
2001-006 P. Baiti and H. K. Jenssen:
Blowup in $L^{\infty}$ for a class of genuinely nonlinear hyperbolic systems of conservation laws.
2001-005 S. Jiang and P. Zhang:
Axisymmetric solutions of the 3-D Navier-Stokes equations for compressible isentropic fluids.
2001-004 E. R. Jakobsen and K. Hvistendahl Karlsen:
Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations.
2001-003 K. Hvistendahl Karlsen and M. Ohlberger:
A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.
2001-002 R. J. LeVeque and M. Pelanti:
A class of approximate Riemann solvers and their relation to relaxation schemes.
2001-001 J.D. Towers:
TVD schemes for two-dimensional scalar conservation laws.

2000 Preprints

2000-050 D. Amadori, L. Gosse, and G. Guerra:
Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws.
2000-049 K.-A. Lie and S. Noelle:
High resolution nonoscillatory central difference schemes for the 2D Euler equations via artificial compression.
2000-048 F. Ancona and P. Goatin:
Uniqueness and stability of $l^\infty$ solutions for Temple class systems with boundary and properties of the attainable sets.
2000-047 C. Mascia, A. Porretta, and A. Terracina:
Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations.
2000-046 D. Aregba-Driollet, R. Natalini, and S.Q. Tang:
Diffusive kinetic explicit schemes for nonlinear degenerate parabolic systems.
2000-045 D. Donatelli and P. Marcati:
Convergence of singular limits for multi-d semilinear hyperbolic systems to parabolic systems.
2000-044 F. Guarguaglini and A. Terracina:
A BGK approximation to nonlinear parabolic initial-boundary value problems.
2000-043 F. Huang:
Global existence of weak solution for a nonstrictly hyperbolic system of conservation laws.
2000-042 F. Bouchut:
Entropy satisfying flux vector splittings and kinetic BGK models.
2000-041 R. Bürger, F. Concha, and K. H. Karlsen:
Phenomenological model of filtration processes: 1. Cake formation and expression.
2000-040 J. Qian and W. W. Symes:
Finite-difference quasi-P traveltimes for anisotropic media.
2000-039 J. Qian and W. W. Symes:
An adaptive finite-difference method for traveltimes and amplitudes.
2000-038 S. Bianchini and A. Bressan:
A case study in vanishing viscosity.
2000-037 A. Kurganov and E. Tadmor:
Solution of two-dimensional Riemann problems for gas dynamics.
2000-036 S. Bianchini and R. M. Colombo:
On the stability of the standard Riemann semigroup.
2000-035 K. H. Karlsen and N. H. Risebro:
Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients.
2000-034 L. Gosse and F. James:
Convergence results for an inhomogeneous system arising in various high frequency approximations.
2000-033 F. Ancona and A. Marson:
A wave front tracking algorithm for NxN non genuinely nonlinear conservation laws.
2000-032 C. Lattanzio and R. Natalini:
Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems.
2000-031 M. S. Espedal and K. Hvistendahl Karlsen:
Numerical solution of reservoir flow models based on large time step operator splitting algorithms.
2000-030 John D. Towers:
A difference scheme for conservation laws with a discontinuous flux - the nonconvex case.
2000-029 G. Godinaud, A.-Y. Le Roux, and M.-N. Le Roux:
Generation of new solvers involving the source term for a class of non homogeneous hyperbolic systems.
2000-028 E. R. Jakobsen, K. H. Karlsen, and N. H. Risebro:
On the convergence rate of operator splitting for weakly coupled systems of Hamilton-Jacobi equations.
2000-027 T. Tang:
Error estimates for approximate solutions for nonlinear scalar conservation laws.
2000-026 F. Berthelin and F. Bouchut:
Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics.
2000-025 F. Berthelin and F. Bouchut:
Solution with finite energy to a BGK system relaxing to isentropic gas dynamics.
2000-024 H. K. Jenssen and C. Sinestrari:
On the spreading of characteristics for nonconvex conservation laws.
2000-023 R. Bürger and K. Hvistendahl Karlsen:
A strongly degenerate convection-diffusion problem modeling centrifugation of flocculated suspensions.
2000-022 S. Evje, K. Hvistendahl Karlsen, and N. H. Risebro:
A continuous dependence result for nonlinear degenerate parabolic equations with spatially dependent flux function.
2000-021 K.-A. Lie and S. Noelle:
Remarks on high-resolution non-oscillatory central schemes for multi-dimensional systems of conservation laws. Part I: An improved quadrature rule for the flux-computation.
2000-020 S. Jiang and P. Zhang:
On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations.
2000-019 H. Li, P. Markowich, and M. Mei:
Asymptotic behavior of solutions of the hydrodynamic model of semiconductors.
2000-018 P. Marcati, M. Mei, and B. Rubino:
Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping.
2000-017 K. Hvistendahl Karlsen and N.H. Risebro:
Unconditionally stable methods for Hamilton-Jacobi equations.
2000-016 John D. Towers:
A difference scheme for conservation laws with a discontinuous flux - the nonconvex case.
2000-015 K. Hvistendahl Karlsen and N.H. Risebro:
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients.
2000-014 H. Hanche-Olsen, H. Holden, and N.H. Risebro:
The Riemann problem for an elastic string with a linear Hooke's law.
2000-013 G. Chiavassa and R. Donat:
Numerical experiments with point value multiresolution for 2D compressible flows.
2000-012 De-xing Kong:
Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data.
2000-011 K. Xu and H.-Z. Tang:
An explanation for the sonic point glitch.
2000-010 R. Bürger and K. Hvistendahl Karlsen:
On some upwind difference schemes for the phenomenological sedimentation-consolidation model.
2000-009 A. Bressan and H. K. Jenssen:
On the convergence of Godunov scheme for nonlinear hyperbolic systems.
2000-008 R. Bürger, K.-K. Fjelde, K. Höfler, and K. Hvistendahl Karlsen:
Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations.
2000-007 E. R. Jakobsen, K. H. Karlsen, and N. H. Risebro:
On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms.
2000-006 B. Wendroff:
Approximate Riemann solvers, Godunov schemes, and contact discontinuities.
2000-005 F. Bouchut, F.R. Guarguaglini, and R. Natalini:
Diffusive BGK approximations for nonlinear multidimensional parabolic equations.
2000-004 R. Natalini and S. Tang:
Discrete kinetic models for dynamical phase transitions.
2000-003 H. Liu and R. Natalini:
Long-time diffusive behavior of solutions to a hyperbolic relaxation system.
2000-002 R. Natalini and A. Terracina:
Convergence of a relaxation approximation to a boundary value problem for conservation laws.
2000-001 K. H. Karlsen, K.-A. Lie, J. R. Natvig, H. F. Nordhaug, and H. K. Dahle:
Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies.

1999 Preprints

1999-045 K. H. Karlsen and N. H. Risebro:
A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws.
1999-044 S. Takeno:
Time-periodic solutions for a scalar conservation law.
1999-043 W. Bao and S. Jin:
The random projection method for stiff detonation waves.
1999-042 W. Bao and S. Jin:
Error estimates on the random projection methods for hyperbolic systems with stiff reaction terms.
1999-041 W. Bao and S. Jin:
The random projection method for hyperbolic systems with stiff reaction terms.
1999-040 S. Jin and M. Katsoulakis:
Hyperbolic systems with supercharacteristic relaxations and roll waves.
1999-039 H. Holden, K. H. Karlsen, and K.-A. Lie:
Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation.
1999-038 J. Härterich:
Viscous profiles for traveling waves of scalar balance laws: The canard case.
1999-037 S. Bianchini:
On a Glimm type functional for a special Jin-Xin relaxation model.
1999-036 T. Tang and Z.-H. Teng:
On the regularity of approximate solutions to conservation laws with piecewise smooth solutions.
1999-035 E. Tadmor and T. Tang:
Pointwise error estimates for relaxation approximations to conservation laws.
1999-034 A. Bressan and W. Shen:
BV estimates for multicomponent chromatography with relaxation.
1999-033 S. Jiang and P. Zhang:
Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas.
1999-032 H. Holden, K. H. Karlsen, and K.-A. Lie:
Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates.
1999-031 K. Xu and Z. Li:
Gas evolution dynamics and numerical dissipation in shock capturing schemes.
1999-030 S. Bianchini and A. Bressan:
On a Lyapunov functional relating shortening curves and viscous conservation laws.
1999-029 C. Mascia:
First order singular perturbations of quasilinear nonconvex type.
1999-028 S. Noelle:
The MoT-ICE: a new high-resolution wave-propagation algorithm for multi-dimensional systems of conservation laws based on Fey's Method of Transport.
1999-027 C. Mascia and A. Terracina:
Large time behavior for conservation laws with source in a bounded domain.
1999-026 G. Chen and M. Rascle:
Initial layers and uniqueness of weak entropy conservation laws.
1999-025 P. Hoch and M. Rascle:
Hamilton-Jacobi equation on a manifold, and applications to mesh generation or refinement.
1999-024 J. Towers:
Convergence of a difference scheme for conservation laws with a discontinuous flux.
1999-023 K.-K. Fjelde and K. Hvistendahl Karlsen:
High-resolution hybrid primitive-conservative upwind schemes for the drift flux model.
1999-022 R. Bürger, S. Evje, and K. Hvistendahl Karlsen:
On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes.
1999-021 A. N. Chinnayya and A.-Y. Le Roux:
A New general Riemann solver for the shallow water equations, with friction and topography.
1999-020 A. Rezgui:
An analysis of accuracy and convergence of finite volume methods.
1999-019 R. Balean:
Granular avalanche flow down a smoothly varying slope: the existence of entropy solutions.
1999-018 H.L. Liu and G. Warnecke:
Convergence rates for relaxation schemes approximating conservation laws.
1999-017 V. Haugse, K. H. Karlsen, K.-A. Lie, and J. R. Natvig:
Numerical solution of the polymer system by front tracking.
1999-016 Withdrawn by the author.
1999-015 K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro:
A fast level set method for reservoir simulation.
1999-014 H. Frid:
Periodic solutions of conservation laws constructed through Glimm scheme.
1999-013 F. Ancona and A. Marson:
A note on the Riemann problem for general nxn conservation laws.
1999-012 F. Ancona and A. Marson:
Well-posedness for general 2x2 systems of conservation laws.
1999-011 A. Kurganov and E. Tadmor:
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
1999-010 S. Junca and M. Rascle:
Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations
1999-009 Ph. Hoch and M. Rascle:
A numerical study of a pathological example of p-system.
1999-008 A. Aw and M. Rascle:
Resurrection of "second order" models of car traffic ?
1999-007 C. Klingenberg and N. H. Risebro::
Stability of a resonant system of conservation laws modeling polymer flow with gravitation
1999-006 R. Bürger, S. Evje, K. Hvistendahl Karlsen, and K.-A. Lie:
Numerical methods for the simulation of the settling of flocculated suspensions
1999-005 R. Bürger, F. Concha, K. K. Fjelde, and K. Hvistendahl Karlsen:
Numerical simulation of the settling of polydisperse suspensions of spheres
1999-004 S. Bianchini and A. Bressan:
Vanishing viscosity solutions of hyperbolic systems on manifolds
1999-003 H. Holden, K. Hvistendahl Karlsen, and N. H. Risebro:
Operator splitting methods for generalized Korteweg-de Vries equations
1999-002 S. H. Lui and K. Xu:
Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations.
1999-001 M. S. Espedal and K. Hvistendahl Karlsen:
Numerical solution of reservoir flow models based on large time step operator splitting algorithms.

1998 Preprints

1998-042 S. Jiang:
Large-time behavior of solutions to the equations of a one-dimensional viscous polytropic ideal gas in unbounded domains.
1998-041 B. Wendroff:
A two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics.
1998-040 R. Balean:
Granular avalanche flow down a smoothly varying slope: the existence of entropy solutions.
1998-039 A. Bressan and P. Goatin:
Stability of L$^\infty$ solutions of Temple class systems.
1998-038 S. Jin, L. Pareschi, and G. Toscani:
Uniformly accurate diffusive relaxation schemes for multiscale transport equations.
1998-037 H. Fan, S. Jin, and Z.-H. Teng:
Zero reaction limit for hyperbolic conservation laws with source terms.
1998-036 D. Amadori and G. Guerra:
Global BV solutions and relaxation limit for a system of conservation laws.
1998-035 R. Liska and B. Wendroff:
Composite centered schemes for multidimensional conservation laws.
1998-034 F. Bouchut:
Construction of BGK models with a family of kinetic entropies for a given system of conservation laws.
1998-033 A. Bressan and M. Lewicka:
A uniqueness condition for hyperbolic systems of conservation laws.
1998-032 A. Bressan:
On the Cauchy problem for nonlinear hyperbolic systems.
1998-031 A. Bressan:
Hyperbolic systems of conservation laws.
1998-030 A. Bressan, T.-P. Liu, and T. Yang:
L^1 stability estimates for n x n conservation laws.
1998-029 A. Bressan and P. G. LeFloch:
Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws.
1998-028 C. Fries:
Stability of viscous shock waves associated with non-convex modes.
1998-027 S. Jin and H. Liu:
Diffusion limit of a hyperbolic system with relaxation.
1998-026 S. Jin, M. Katsoulakis, Z. Xin:
Relaxation schemes for curvature-dependent front propagation.
1998-025 Kun Xu:
Gas evolution dynamics in Godunov-type schemes.
1998-024 M. H. Zhou, M. Mascagni, and A. Y. Qiao:
Explicit finite difference schemes for the advection equation.
1998-023 H. K. Jenssen:
A note on the spreading of characteristics for nonconvex conservation laws.
1998-022 E. Tadmor:
Approximate solutions of nonlinear conservation laws and related equations.
1998-021 C. Lattanzio and P. Marcati:
The zero relaxation limit for $2\times 2$ hyperbolic systems.
1998-020 R. Fazio and R. J. LeVeque::
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK.
1998-019 R. Holdahl, H. Holden, and K.-A. Lie:
Unconditionally stable splitting methods for the shallow water equations.
1998-018 H. Holden, K.-A. Lie, and N. H. Risebro:
An unconditionally stable method for the Euler equations.
1998-017 S. Evje and K. Hvistendahl Karlsen:
Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations.
1998-016 E. Tadmor and T. Tassa:
On the homogenization of oscillatory solutions to nonlinear convection-diffusion equations
1998-015 C.-T. Lin and E. Tadmor:
$L^1$-stability and error estimates for approximate Hamilton-Jacobi solutions
1998-014 S. Evje and K. Hvistendahl Karlsen:
Degenerate convection-diffusion equations and implicit monotone difference schemes.
1998-013 K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro:
A front tracking method for conservation laws with boundary conditions.
1998-012 W. Shen, A. Tveito, and R. Winther:
Rate of convergence for the zero relaxation limit.
1998-011 S. Evje and K. Hvistendahl Karlsen:
Monotone difference approximations of BV solutions to degenerate convection-diffusion equations.
1998-010 J. Härterich:
Heteroclinic orbits between rotating waves in hyperbolic balance laws.
1998-009 L. Pareschi and G. Naldi:
Numerical schemes for kinetic equations in diffusive regimes.
1998-008 H. K. Jenssen:
Blowup for systems of conservation laws.
1998-007 E. Tadmor and T. Tang:
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions.
1998-006 H. K. Jenssen and C. Sinestrari:
Blowup asymptotics for scalar conservation laws with a source.
1998-005 T. Fogarty and R. J. LeVeque:
High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium.
1998-004 R. J. LeVeque:
Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propogation algorithm.
1998-003 K. Brusdal, H. K. Dahle, K. Hvistendahl Karlsen, and T. Mannseth:
A study of the modelling error in two operator splitting algorithms for porous media flow.
1998-002 K. Hvistendahl Karlsen, K. Brusdal, H. K. Dahle, S. Evje, and K.-A. Lie:
The corrected operator splitting approach applied to an advection-diffusion problem.
1998-001 W.-A. Yong:
Singular perturbations of first-order hyperbolic systems with stiff source terms

1997 Preprints

1997-037 R. A. Klausen and N. H. Risebro:
Stability of conservation laws with discontinuous coefficients
1997-036 R. M. Colombo and N. H. Risebro:
Continuous dependence in the large for some equations of gas dynamics
1997-035 A. Bressan and P. Goatin:
Oleinik type estimates and uniqueness for n x n conservation laws
1997-034 R. Liska and B. Wendroff:
2D shallow water equations by composite schemes
1997-033 M. J. Berger and R. J. LeVeque:
Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems
1997-032 J. Lorenz and H. J. Schroll:
Stiff well-posedness and asymptotic expansions for hyperbolic systems with relaxation
1997-031 K.-A. Lie:
A dimensional splitting method for nonlinear equations with variable coefficients
1997-030 K.-A. Lie:
Front tracking for one-dimensional nonlinear advection equations with variable coefficients
1997-029 S. Evje, K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro:
Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations
1997-028 S. Evje and K. Hvistendahl Karlsen:
Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations
1997-027 D. Amadori, B. Baiti, P. G. LeFloch, and B. Piccoli:
Nonclassical shocks and the Cauchy problem for nonconvex conservation laws
1997-026 S. Jin and Z. Xin:
Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and a relaxation scheme
1997-025 F. Ancona and A. Marson:
Scalar non-linear conservation laws with integrable boundary data
1997-024 F. Ancona and A. Marson:
On the attainable set for scalar non-linear conservation laws with boundary control
1997-023 W.-C. Lien:
Hyperbolic conservation laws with a moving source
1997-022 W.-A. Yong:
A simple approach to Glimm's interaction estimates
1997-021 S. Jin, L. Pareschi, and G. Toscani:
Diffusive relaxation schemes for discrete-velocity kinetic equations
1997-020 S. Jin and M. Katsoulakis:
Relaxation approximations to front propagation
1997-019 L. F. Henderson and R. Menikoff:
Triple shock entropy theorem and its consequences
1997-018 R. Liska and B. Wendroff:
Composite schemes for conservation laws
1997-017 J. P. Vila and P. Villedieu:
Convergence of explicit finite volume schemes for Friedrichs Systems
1997-016 K. Hvistendahl Karlsen and K.-A. Lie:
An unconditionally stable splitting scheme for a class nonlinear parabolic equations
1997-015 S. Evje and K. Hvistendahl Karlsen:
A note on viscous splitting of degenerate convection-diffusion equations
1997-014 P. Marcati and B. Rubino:
Hyperbolic to parabolic relaxation theory for quasilinear first order systems
1997-013 G.-S. Jiang and E. Tadmor:
Non-oscillatory central schemes for multidimensional hyperbolic conservation laws
1997-012 X.-D. Liu and E. Tadmor:
Third order nonoscillatory central scheme for hyperbolic conservation laws
1997-011 K. Hvistendahl Karlsen, K.-A. Lie, N.H. Risebro, and J. Frøyen:
A front tracking approach to a two-phase fluid flow model with capillary forces
1997-010 K. Hvistendahl Karlsen and N.H. Risebro:
Corrected operator splitting for nonlinear parabolic equations
1997-009 H.J. Schroll and A. Tveito:
Local existence and stability for a hyperbolic–elliptic system modeling two–phase reservoir flow
1997-008 W.-A. Yong:
A difference scheme for a stiff system of conservation laws
1997-007 W. Shen, A. Tveito, and R. Winther:
On the zero relaxation limit for a system modeling the motions of a viscoelastic solid
1997-006 A. Bressan and W. Shen:
Uniqueness for discontinuous O.D.E. and conservation laws
1997-005 C. Mascia:
Qualitative behavior of conservation laws with reaction term and nonconvex flux
1997-004 C. Lattanzio and P. Marcati:
The zero relaxation limit for the hydrodynamic Whitham traffic flow model
1997-003 J.O. Langseth and R.J. LeVeque:
A wave propagation method for three-dimensional hyperbolic conservation laws
1997-002 A. Bressan, G. Crasta, and B. Piccoli:
Well-posedness of the Cauchy problem for nxn systems of conservation laws
1997-001 K. Xu and J. Hu:
Projection dynamics in Godunov-type schemes i: to the physical understanding of post-shock oscillations

1996 Preprints

1996-044 P. Baiti and H.K. Jenssen:
Well-posedness for a class of $2\times 2$ conservation laws with $L^\infty$ data
1996-043 Alberto Bressan and Rinaldo M. Colombo:
Decay of positive waves in nonlinear systems of conservation laws
1996-042 Alberto Bressan:
The semigroup approach to systems of conservation laws
1996-041 C. Mascia and C. Sinestrari:
The perturbed riemann problem for a balance law
1996-040 P. Baiti and A. Bressan:
Lower semicontinuity of weighted path length in BV
1996-039 T. Luo, R. Natalini, and Z. Xin:
Large time behavior of the solutions to a hydrodynamic model for semiconductors
1996-038 V. Haugse:
Identification of mobilities for the Buckley-Leverett equation by front tracking
1996-037 P. Baiti and H.K. Jenssen:
On the front tracking algorithm
1996-036 T. Tang:
Convergence analysis for operator splitting methods to conservation laws with stiff source terms
1996-035 K. Xu:
Unsplitting BGK-type schemes for the shallow water equations
1996-034 I. Gasser and R. Natalini:
The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors
1996-033 H. Holden and N. H. Risebro:
Riemann problems with a kink
1996-032 A. Bressan and A. Marson:
Error bounds for a deterministic version of the Glimm scheme
1996-031 P. Baiti and A. Bressan:
The semigroup generated by a Temple class system with large data
1996-030 R. Bodenmann and H. J. Schroll:
Higher order discretisation of initial-boundary value problems for mixed systems
1996-029 J. Lorenz and H. J. Schroll:
Stiff well-posedness for hyperbolic systems with large relaxation terms
1996-028 R. Bodenmann and H. J. Schroll:
Compact difference methods applied to initial-boundary value problems for mixed systems
1996-027 H. J. Schroll and R. Winther:
Finite difference schemes for scalar conservation laws with source terms
1996-026 H. J. Schroll:
Convergence of implicit finite difference methods applied to nonlinear mixed systems
1996-025 T. Tang and Z.-H. Teng:
Viscosity methods for piecewise smooth solutions to scalar conservation laws
1996-024 D. Hoff:
Discontinuous solutions of the Navier-Stokes equations for multidimensional heat-conducting flow
1996-023 X. Cai, H. P. Langtangen, B. F. Nielsen, and A. Tveito:
A finite element method for fully nonlinear water waves
1996-022 H. J. Schroll, A. Tveito, and R. Winther:
A system of conservation laws with a relaxation term
1996-021 H. J. Schroll, A. Tveito, and R. Winther:
An error bound for a finite difference scheme applied to a stiff system of conservation laws
1996-020 A. Tveito and R. Winther:
On the rate of convergence to equilibrium for a system of conservation laws including a relaxation term
1996-019 W. Shen, A. Tveito, and R. Winther:
A system of conservation laws including a stiff relaxation term; the 2D case
1996-018 W. Shen:
Error bounds of finite difference schemes for two-dimensional scalar conservation laws with source term
1996-017 A. Bressan and G. Guerra:
Shift-differentiability of the flow generated by a conservation law
1996-016 C. Mascia:
Travelling wave solutions for a balance law
1996-015 B. Gottschlich-Müller and S. Müller:
Multiscale concept for conservation laws
1996-014 A. Bressan and P. LeFloch:
Uniqueness of weak solutions to systems of conservation laws
1996-013 B. Hanouzet and R. Natalini:
Weakly coupled systems of quasilinear hyperbolic equations
1996-012 R. Natalini:
A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
1996-011 C. Mascia and R. Natalini:
L^1 nonlinear stability of travelling waves for a hyperbolic system with relaxation
1996-010 B. H. Gilding, R. Natalini, and A. Tesei:
How parabolic free boundaries approximate hyperbolic fronts
1996-009 B. Hanouzet, R. Natalini, and A. Tesei:
On the Chapman-Jouguet Limit for a combustion model
1996-008 R. Natalini and B. Rubino:
A discrete approximation for hyperbolic systems with quadratic interaction term
1996-007 D. Aregba-Driollet and R. Natalini:
Convergence of relaxation schemes for conservation laws
1996-006 R. Natalini:
Convergence to equilibrium for the relaxation approximations of conservation laws
1996-005 P. Le Floch and R. Natalini:
Conservation laws with vanishing nonlinear diffusion and dispersion
1996-004 P. Marcati and R. Natalini:
Global weak entropy solutions to quasilinear wave equations of Klein–Gordon and Sine–Gordon Type
1996-003 H. Holden and N. H. Risebro:
Conservation laws with a random source
1996-002 K. Hvistendahl Karlsen and N. H. Risebro:
An operator splitting method for convection-diffusion equations
1996-001 K.-A. Lie, V. Haugse, and K. Hvistendahl Karlsen:
Dimensional splitting with front tracking and adaptive local grid refinement.

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