Asymptotic stability of rarefaction wave of the Cauchy problem for viscous conservation laws

DOI10.1016/J.NA.2004.11.017zbMath1073.35157OpenAlexW2001165065MaRDI QIDQ1776932

Yanping Dou

Publication date: 12 May 2005

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.2004.11.017

zbMATH Keywords

asymptotic stabilityviscous conservation lawsrarefaction waveperturbation: Bernoulli relation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Asymptotic stability of viscous shock wave profiles for viscous conservation laws

Cites Work

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• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Asymptotic stability of rarefraction waves for 2\(\times 2\) viscous hyperbolic conservation laws - the two-modes case
• Asymptotic stability of rarefaction waves for 2\(\times 2\) viscous hyperbolic conservation laws
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Asymptotics toward the planar rarefaction wave for viscous conservation law in two space dimensions
• Nonlinear stability of shock waves for viscous conservation laws
• Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time
• Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions

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