Nonlinear asymptotic stability of general small-amplitude viscous Laxian shock waves
type: Item
instance of: scholarly article
title: Nonlinear asymptotic stability of general small-amplitude viscous Laxian shock waves
zbMATH Open document ID: 0921.35106
author: Christian Fries
published in: Journal of Differential Equations
publication date: 1999-09-16T00:00:00Z
review text: For a system of viscous conservation laws \(u_t+f(u)_x= \mu u_{xx}\) with a general hyperbolic inviscid part the author proves asymptotic stability of small-amplitude Laxian travelling-wave profiles for initial perturbations of the form \((U_0)_x\) where the function \(U_0\) has a small norm in \(H^{2,2}\).
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1206640
zbMATH Keywords: viscous conservation laws
zbMATH Keywords: small-amplitude Laxian travelling-wave profiles
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3431
OpenAlex ID: W2062497085
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DOI: 10.1006/JDEQ.1998.3431
description: scientific article; zbMATH DE number 1206640