Preprints submitted in 2003
- 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.