Preprints submitted in 2006
- 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.