2009 Preprints

Preprints submitted in 2009

• 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.
• 2009-011 Gregory A. Chechkin and Andrey Yu. Goritsky:
  S.N. Kruzhkov's lectures on first-order quasilinear PDEs.
• 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.