Asymptotic stability of viscous shock wave profiles for viscous conservation laws

DOI10.1016/J.NA.2005.06.044zbMath1099.35064OpenAlexW1988909429MaRDI QIDQ2492445

Yanping Dou

Publication date: 9 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.06.044

zbMATH Keywords

artificial viscosityperturbationasymptotic stabilityviscous conservation lawstravelling wave solutionviscous shock wavesteady isentropic irrotational flow

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Cites Work

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• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Asymptotic stability of rarefaction wave of the Cauchy problem for viscous conservation laws
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas

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