The initial boundary value problems for hyperbolic conservation laws with relaxation

DOI10.1006/jdeq.1996.0134zbMath0872.35065OpenAlexW2017628809MaRDI QIDQ1924450

Shinya Nishibata

Publication date: 15 October 1997

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.0134

zbMATH Keywords

stable boundary layers

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65)

Related Items (12)

Convergence of relaxation schemes for initial boundary value problems for conservation laws ⋮ A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions ⋮ Stability and convergence of discrete kinetic approximations to an initial-boundary value problem for conservation laws ⋮ CONVERGENCE RATES TO SUPERPOSITION OF TWO TRAVELLING WAVES OF THE SOLUTIONS TO A RELAXATION HYPERBOLIC SYSTEM WITH BOUNDARY EFFECTS ⋮ Kinetic approximation of a boundary value problem for conservation laws ⋮ Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model ⋮ Large-time behavior of solutions to an outflow problem for a shallow water model ⋮ Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model ⋮ CONVERGENCE OF A RELAXATION APPROXIMATION TO A BOUNDARY VALUE PROBLEM FOR CONSERVATION LAWS ⋮ TIME-ASYMPTOTIC STABILITY OF BOUNDARY-LAYERS FOR A HYPERBOLIC RELAXATION SYSTEM ⋮ A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow ⋮ Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation

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