Linear and nonlinear exponential stability of traveling waves for hyperbolic systems with relaxation

DOI10.4310/CMS.2009.v7.n3.a3zbMath1184.35048OpenAlexW2040734584MaRDI QIDQ1049716

Tong Li, Yaping Wu

Publication date: 13 January 2010

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2009.v7.n3.a3

zbMATH Keywords

quasilinear hyperbolic equations\(C_0\)-semigroup theoryexponentially weighted spacesJin-Xin relaxation models

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Traffic problems in operations research (90B20) Initial value problems for first-order hyperbolic systems (35L45) Traveling wave solutions (35C07)

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