## Preprints submitted in 2003

- 2003-078
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Weak asymptici of shock wave formation process. - 2003-077
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Convergence of upwind finite difference algorithms for scalar conservation laws with indefinite discontinuitites in the flux function. - 2003-076
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Perturbation of singular equilibria of hyperbolic two-component systems: a universal hydrodynamic limit. - 2003-075
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Derivation of the Leroux system as the hydrodynamic limit of a two-component lattice gas. - 2003-074
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Onsager relations and Eulerian hydrodynamic limit for systems with several conservation laws. - 2003-073
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A mixture flux approach for accurate and robust resolution of two-phase flows. - 2003-072
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Weakly implicit numerical schemes for the two-fluid model. - 2003-071
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CFL-free numerical schemes for the two-fluid model. - 2003-070
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Comparison of various AUSM type schemes for the two-fluid model. - 2003-069
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Semi-cooperative strategies for differential games. - 2003-068
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dynamics of propagation and interaction of delta-shock waves in conservation law systems. - 2003-067
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Low Frequency Stability of Multi-dimensional Inviscid Planar Detonation Waves. - 2003-066
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Existence of global entropy solutions to Euler equations of compressible fluid flow. - 2003-065
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Composite waves in the Dafermos regularization. - 2003-064
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High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces. - 2003-063
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Initial boundary value problems for a quasilinear parabolic system in three-phase capillary flow in porous media. - 2003-062
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Non-oscillatory central schemes for one- and two-dimensional MHD equations. I. - 2003-061
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Numerical comparison of the method of transport to a standard scheme. - 2003-060
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On the connection between some Riemann-Solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws. - 2003-059
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A specific hyperbolic system of conservation laws admitting delta-shock wave type solutions. - 2003-058
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Stability of large-amplitude shock profiles for general relazation systems. - 2003-057
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Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems. - 2003-056
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Control problems for systems of conservation law. - 2003-055
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PDE fluid modeling of multithread systems and optimal control. - 2003-054
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Symmetric nonbarotropic flows with large data and forces. - 2003-053
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Spatially periodic solutions in relativistic isentropic gas dynamics. - 2003-052
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Delta-shock wave type solution of hyperbolic systems of conservation laws. - 2003-051
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Existence of Dafermos profiles for singular shocks. - 2003-050
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A five equation reduced model for compressible two phase flow problems. - 2003-049
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Neumann boundary conditions for Hamliton Jacobi equations in a quarter plane. - 2003-048
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On the problem of symmetrizability for hyperbolic systems of first order. - 2003-047
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On evolution Galerkin methods for the Maxwell and the linearized Euler equations. - 2003-046
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On the boundary conditions for EG-methods applied to the two-dimensional wave equation system. - 2003-045
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Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. - 2003-044
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A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. - 2003-043
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Second-order Godunov-type scheme for reactive flow calculations on moving meshes. - 2003-042
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On the convergence rate of vanishing viscosity approximations. - 2003-041
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Stability of solutions of quasilinear parabolic equations. - 2003-040
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A "maximum principle for semicontinuous functions" applicable to integro-partial differential equations. - 2003-039
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Renormalized entropy solutions for quasilinear anisotropic degenerate parabolic equations. - 2003-038
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Asymptotic stability of non-planar Riemann solutions for a special class of multi-d systems of conservation laws. - 2003-037
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Scalar conservation laws with boundary conditions and rough data measure solutions. - 2003-036
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A class of high resolution schemes for hyperbolic conservation laws and convection–diffusion equations with varying time and space grids. - 2003-035
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A note on (2k+1)-point conservative monotone schemes. - 2003-034
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A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids. - 2003-033
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Stability conditions for strong rarefaction waves - 2003-032
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Lyapunov functional for solutions of systems of conservation laws containing a strong rarefaction. - 2003-031
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A moving mesh method for the Euler flow calculations using a directional monitor function. - 2003-030
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A sharp decay estimate for positive nonlinear waves. - 2003-029
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MOCL - An algorithm for tracking interfaces in two-dimensional Eulerian codes. - 2003-028
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Hydrodynamic structure of the augmented Born-Infeld equations. - 2003-027
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Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice; I. Homogeneous problems; vanishing exterior potentials. - 2003-026
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Numerical simulation of compressible two-phase flow model based on the Riemann problem. - 2003-025
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A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations. - 2003-024
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On the global stability of contact discontinuity for compressible Navier-Stokes equations. - 2003-023
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Viscosity solutions of Hamilton-Jacobi equations with discontinuous coefficients. - 2003-022
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*L*^{1}stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. - 2003-021
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Small BV solutions of hyperbolic non-cooperative differential games. - 2003-020
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The stability of compressible vortex sheets in two space dimensions. - 2003-019
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On the solution to the Riemann problem for the compressible duct flow. - 2003-018
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On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary. - 2003-017
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Front tracking for scalar balance equations. - 2003-016
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A reduction of the Boltzmann-Peierls equation. - 2003-015
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Godunov-type approximation for a general resonant balance law with large data. - 2003-014
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A lemma and a conjecture on the cost of rearrangements. - 2003-013
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An ill posed Cauchy problem for a hyperbolic system in two space dimensions. - 2003-012
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Stable and accurate hybrid finite volume methods based on pure convexity arguments for hyperbolic systems of conservation law. - 2003-011
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On the rate of convergence of approximation schemes for Bellman equations associated with optimal stopping time problems. - 2003-010
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$W^{2,\infty}$ regularizing effect in a nonlinear, degenerate parabolic equation in one space dimension. - 2003-009
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Error bounds for monotone approximation schemes for non-convex degenerate elliptic equations in $\mathbb{R}^1$. - 2003-008
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The Riemann problem for a class of resonant hyperbolic systems of balance laws. - 2003-007
- 2003-006
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Well-posedness in $BV_t$ and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. - 2003-005
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Long time behavior of solutions to the 3D compressible Euler equations with damping. - 2003-004
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BGK-type kinetic flux vector splitting scheme for the ultra-relativistic Euler equations. - 2003-003
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An entropy condition and global existence result for hyperbolic balance laws. - 2003-002
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A Lagrangian discontinous Galerkin type method on unstructured meshes to solve hydrodynamics problems. - 2003-001
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Some recent methods for partial differential equations of divergence form.