Stability in a two-dimensional combustion model
type: Item
instance of: scholarly article
title: Stability in a two-dimensional combustion model
zbMATH Open document ID: 1086.35150
DOI: 10.4171/IFB/89
author: Josephus Hulshof
author: Luca Lorenzi
published in: Interfaces and Free Boundaries
publication date: 2004-05-27T00:00:00Z
review text: Summary: We study the stability of a planar travelling wave in the two-dimensional nearly equidiffusional flame combustion model when the reduced Lewis number is equal to zero. The functional analytic setting consists of spaces of suitably exponentially weighted Hölder continuous functions. By exploiting the appearance of the integrated Burgers equation in the equations for perturbations of the wave we avoid the usual assumption that the perturbation must be localized in the lateral space coordinate.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 37C75
zbMATH DE Number: 2067192
zbMATH Keywords: stability of travelling waves
zbMATH Keywords: fully nonlinear parabolic problems
zbMATH Keywords: nearly equidiffusional flame combustion model
zbMATH Keywords: Burgers equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2067192