The Riemann problem for nonlinear degenerate wave equations

DOI10.1007/S10483-010-1301-9zbMath1207.35223OpenAlexW2032057727MaRDI QIDQ605157

Wen-Hua Sun, Wan-cheng Sheng

Publication date: 23 November 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1301-9

zbMATH Keywords

rarefaction wavedegenerate shock

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Degenerate hyperbolic equations (35L80)

Related Items (1)

Wave interactions for a nonlinear degenerate wave equations

Cites Work

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• The non-selfsimilar Riemann problem for 2-D zero-pressure flow in gas dynamics
• Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
• Convergence of the viscosity solutions for the system of nonlinear elasticity
• Existence of a global solution for a viscoelastic system
• Stability of traveling waves with degenerate shock for system of one- dimensional viscoelastic model
• The Riemann problem with delta initial data for a class of coupled hyperbolic systems of conservation laws
• Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
• Stability of shock profiles in viscoelasticity with non‐convex constitutive relations
• Convergence of Viscosity Solutions for Isothermal Gas Dynamics

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