Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions

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Original languageEnglish
Pages (from-to)365-408
Journal / PublicationJournal of Differential Equations
Volume139
Issue number2
Publication statusPublished - 20 Sept 1997
Externally publishedYes

Abstract

We study the nonlinear asymptotic stability of planar shock front for a class of relaxation systems which approximate scalar conservation laws in several space dimensions time asymptotically. It is shown that if the relaxation system satisfies the subcharacteristic condition, then a traveling wave solution connecting a weak entropy shock is asymptotically stable under small generic perturbations. © 1997 Academic Press.