2002 Preprints

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Preprints submitted in 2002

• 2002-001
  G.-Q. Chen and D. Wang:
  The Cauchy problem for the Euler equations for compressible fluids.
  
  
• 2002-002
  R. Burger, H. Frid, and K. H. Karlsen:
  On a free boundary problem for a strongly degenerate quasilinear parabolic equation with an application to a model of pressure filtration.
  
  
• 2002-003
  M. Seaid and M. K. Banda:
  A class of the relaxation schemes for two-dimensional Euler systems of gas dynamics.
  
  
• 2002-004
  F. Berthelin and F. Bouchut:
  Weak solutions for a hyperbolic system with unilateral constraint and mass loss.
  
  
• 2002-005
  A.-Y. Le Roux:
  Several applications of generalized solutions in some examples of wave propagation.
  
  
• 2002-006
  D. S. Bale, R. J. LeVeque, S. Mitran, and J. A. Rossmanith:
  A wave propagation method for conservation laws and balance laws with spatially varying flux functions.
  
  
• 2002-007
  G. W. Wei:
  Shock capturing by anisotropic diffusion oscillation reduction.
  
  
• 2002-008
  S. Jiang and P. Zhang:
  Remarks on weak solutions to the Navier-Stokes equations for 2-D comprssible isothermal fluids with spherically symmetric initial data.
  
  
• 2002-009
  F. De Vuyst:
  Feasibility of fluid transport modelling for buffer and processing systems : Information Fluid Dynamics.
  
  
• 2002-010
  F. De Vuyst:
  Service time assessment in Computational Information Fluid Dynamics using level set methods.
  
  
• 2002-011
  D. Aregba-Driollet and V. Milisic:
  Kinetic approximation of a boundary value problem for conservation laws.
  
  
• 2002-012
  G. M. Coclite and B. Piccoli:
  Traffic flow on a road network.
  
  
• 2002-013
  H. K. Jenssen and G. Lyng:
  Evaluation of the lopatinski determinant for multi-dimensional Euler equations.
  
  
• 2002-014
  S. Tang and H. Zhao:
  Nonlinear stability of suliciu model for dynamic phase transitions.
  
  
• 2002-015
  H. Tang, T. Tang, and P. Zhang:
  An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions.
  
  
• 2002-016
  B. N. Azarenok, S. A. Ivanenko, and T. Tang:
  Godunov's scheme and moving adaptive grids.
  
  
• 2002-017
  M. Lukacova-Medvidova, J. Saibertova, and G. Warnecke:
  Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
  
  
• 2002-018
  J. Li, M. Lukacova-Medvidova, and G. Warnecke:
  Evolution galerkin schemes applied to the two-dimensional Riemann problems for the wave equation system.
  
  
• 2002-019
  X.-B. Lin and S. Schecter:
  Stability of self-similar solutions of the Dafermos regularization of a system of conservation laws.
  
  
• 2002-020
  S. Schecter:
  Undercompressive shock waves and the Dafermos regularization.
  
  
• 2002-021
  Z. Zhang and T. Tang:
  An adaptive mesh redistribution algorithm for convection-dominated problem.
  
  
• 2002-022
  M. J. Berger, C. Helzel, and R. J. LeVeque:
  H-box methods for the approximation of hyperbolic conservation laws on irregular grids.
  
  
• 2002-023
  F. Berthelin and F. Bouchut:
  Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy.
  
  
• 2002-024
  P. Goatin:
  One sided estimates and uniqueness for hyperbolic systems of balance laws.
  
  
• 2002-025
  S. Berres, R. Bürger, K. H. Karlsen, and E. M. Tory:
  Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression.
  
  
• 2002-026
  R. Bürger, K. H. Karlsen, N. H. Risebro, and J. D. Towers:
  On a model for continuous sedimentation in vessels with discontinuously varying cross-sectional area.
  
  
• 2002-027
  F. Ancona and G. M. Coclite:
  On the attainable set for temple class systems with boundary controls.
  
  
• 2002-028
  M. Laforest:
  A posteriori error estimate for front-tracking for nonlinear systems of conservation laws.
  
  
• 2002-029
  F.R. Guarguaglini, V. Milisic, and A. Terracina:
  A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions.
  
  
• 2002-030
  F. Bouchut:
  A reduced stability condition for nonlinear relaxation to conservation laws.
  
  
• 2002-031
  J.-F. Coulombel:
  Stability of multidimensional undercompressive shock waves.
  
  
• 2002-032
  F. Huang, A. Matsumura, and X. Shi:
  Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas.
  
  
• 2002-033
  F. Huang, A. Matsumura, and X. Shi:
  A gas-solid free boundary problem for compressible viscous gas.
  
  
• 2002-034
  K. H. Karlsen, C. Klingenberg, and N. H. Risebro:
  A relaxation scheme for conservation laws with a discontinuous coefficient.
  
  
• 2002-035
  F. Huang:
  Weak solution to pressureless type system.
  
  
• 2002-036
  F. Huang and Z. Wang:
  Convergence of viscosity solutions for isothermal gas dynamics.
  
  
• 2002-037
  G.-Q. Chen and H. Frid:
  Extended divergence-measure fields and the Euler equations for gas dynamics.
  
  
• 2002-038
  G.-Q. Chen and M. Feldman:
  Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type.
  
  
• 2002-039
  M. Kunik, S. Qamar, and G. Warnecke:
  Kinetic schemes for the ultra-relativistic Euler equations.
  
  
• 2002-040
  M. Kunik, S. Qamar, and G. Warnecke:
  Kinetic schemes for the relativistic gas dynamics.
  
  
• 2002-041
  C. Lattanzio and P. Marcati:
  Global well-posedness and relaxation limits of a model for radiating gas.
  
  
• 2002-042
  J.-F. Coulombel:
  Weakly stable multi-d shocks.
  
  
• 2002-043
  R. M. Colombo and A. Groli:
  On the optimization of a conservation law.
  
  
• 2002-044
  Removed by request from the authors
  
  
• 2002-045
  S. Berres, R. Bürger, and E. M. Tory:
  Mathematical model and numerical simulation of the liquid fluidization of polydisperse solid particle mixtures.
  
  
• 2002-046
  S. Berres, R. Bürger, and K. H. Karlsen:
  Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions.
  
  
• 2002-047
  S. Schecter, B. J. Plohr, and D. Marchesin:
  Computation of Riemann solutions using the Dafermos regularization and continuation.
  
  
• 2002-048
  N. Andrianov and G. Warnecke:
  The Riemann problem for the Baer-Nunziato model of two-phase flows.
  
  
• 2002-049
  E. Yu. Panov:
  On kinetic formulation of measure valued and strong measure valued solutions.
  
  
• 2002-050
  Not available
  
  
• 2002-051
  F. Bouchut:
  An antidiffusive entropy scheme for monotone scalar conservation laws.
  
  
• 2002-052
  G.-Q. Chen and D. Wagner:
  Global entropy solutions to exothermically reacting, compressible Euler equations.
  
  
• 2002-053
  M. Lukacova-Medvidova, K.W. Morton, and G.Warnecke:
  Finite volume evolution Galerkin (FVEG) methods for hyperbolic systems.
  
  
• 2002-054
  B. Hanouzet and R. Natalini:
  Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy.
  
  
• 2002-055
  H. Frid:
  Asymptotic stability of Riemann solutions for a class of multi-d viscous systems of conservation laws.
  
  
• 2002-056
  G. M. Coclite and N. H. Risebro:
  Conservation laws with time dependent discontinuous coefficients.
  
  
• 2002-057
  F. De Vuyst, J.-M- Ghidaglia, and G. Le Coq:
  On the numerical simulation of multiphase flows with changes of phase and strong gradients using the homogeneous equilibrium model.
  
  
• 2002-058
  C. Mascia and K. Zumbrun:
  Pointwise Green's function bounds for shock profiles of systems with real viscosity.
  
  
• 2002-059
  Y. H. Sun, Y. C. Zhou, and G. W. Wei:
  A practical spectral method for hyperbolic conservation laws.
  
  

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