Stability of rarefaction waves in viscous media
type: Item
instance of: scholarly article
title: Stability of rarefaction waves in viscous media
zbMATH Open document ID: 0861.35037
DOI: 10.1007/BF00380894
author: Anders Szepessy
author: Kevin Zumbrun
published in: Archive for Rational Mechanics and Analysis
publication date: 1996-06-11T00:00:00Z
review text: This is a study of the large time asymptotic behaviour of a weak rarefaction wave for the parabolic system \(u_t+f(u)_x=u_{xx}\) with a strictly hyperbolic first member. Solutions of perturbed rarefaction data converge to an approximate Burgers rarefaction wave for suitably small and localized initial perturbations.
Mathematics Subject Classification ID: 35K45
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 887202
zbMATH Keywords: shock stability
zbMATH Keywords: approximate Burgers rarefaction wave
reviewed by: Guy Boillat
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00380894
OpenAlex ID: W2025051393
description: scientific article; zbMATH DE number 887202