Instability of the free boundary in a two-dimensional combustion model

被引：1

作者：

Brauner, CM ^{[1
]}

Lunardi, A

机构：

[1] Univ Bordeaux 1, F-33405 Talence, France

[2] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 02期

关键词：

D O I：

10.1016/S0764-4442(00)00101-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove instability of the front in a free boundary problem in R-2 modelling premixed flame propagation, transforming it to a fully nonlinear problem with fixed boundary. The difficulty due to the spectrum of the linear part, which contains an interval [0, omega(c)], omega(c) > 0, is overcome by an argument from the theory of dynamical systems in Banach spaces. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：77 / 81

页数：5

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