Existence and stability of traveling wave solutions to first-order quasilinear hyperbolic systems

DOI10.1016/j.matpur.2012.10.011zbMath1286.35064OpenAlexW2005664110MaRDI QIDQ385979

Peng Qu, Cun-Ming Liu

Publication date: 13 December 2013

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2012.10.011

zbMATH Keywords

Chaplygin gaslinear degeneracysemi-global normalized coordinatewave decompositions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) First-order nonlinear hyperbolic equations (35L60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45) Traveling wave solutions (35C07)

Related Items (6)

On one-dimension quasilinear wave equations with null conditions ⋮ Global stability of traveling waves for (1 + 1)-dimensional systems of quasilinear wave equations ⋮ Global nonlinear stability of longitudinal wave for the planar motion of elastic string with linear Hooke's law ⋮ Stability of traveling wave solutions to the initial-boundary value problem for diagonalizable quasilinear hyperbolic systems ⋮ Stability of traveling wave solutions to Cauchy problem of diagnolizable ⋮ Existence and stability of traveling wave solutions to one-sided mixed initial-boundary value problem for first-order quasilinear hyperbolic systems

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