Asymptotics toward strong rarefaction waves for \(2\times 2\) systems of viscous conservation laws

DOI10.3934/DCDS.2005.12.251zbMath1079.35065OpenAlexW2026069921MaRDI QIDQ1770159

Tong Yang, Huijiang Zhao

Publication date: 11 April 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2005.12.251

zbMATH Keywords

energy methodstrongly coupling conditiontime asymptotic behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (4)

Global stability of strong rarefaction waves for the generalized KdV-Burgers equation ⋮ The Jin-Xin relaxation approximation of scalar conservation laws in several dimensions with large initial perturbation ⋮ Nonlinear stability of strong rarefaction waves for the generalized KdV-Burgers-Kuramoto equation with large initial perturbation ⋮ A case study of global stability of strong rarefaction waves for \(2\times 2\) hyperbolic conservation laws with artificial viscosity

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