Preprints submitted in 2004
- 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.