2003 Preprints

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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.
  
  

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