Stability of travelling fronts in a model for flame propagation. II: Nonlinear stability
type: Item
instance of: scholarly article
title: Stability of travelling fronts in a model for flame propagation. II: Nonlinear stability
zbMATH Open document ID: 0763.76034
DOI: 10.1007/BF00387762
author: J. M. Roquejoffre
published in: Archive for Rational Mechanics and Analysis
publication date: 1992-09-27T00:00:00Z
review text: In Fortsetzung der Arbeit mit dem gleichnamigen Titel [s. das vorstehende Referat] wird gezeigt, daß die laufenden Wellen nicht nur bei kleinen (linearen) Störungen, sondern auch bei großen (nichtlinearen) Störungen stabil sind. Stabilität heißt dabei, daß sich die gestörte und die ungestörte Lösungen während der Ausbreitung immer mehr nähern. Die entsprechenden sehr umfangreichen Beweise sind angegeben.
Mathematics Subject Classification ID: 76E99
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 80A25
zbMATH DE Number: 60698
zbMATH Keywords: large perturbations
reviewed by: Maria A. Heckl
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00387762
OpenAlex ID: W2052827802
description: scientific article; zbMATH DE number 60698