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
收藏
页码：77 / 81
页数：5
相关论文
共 50 条
12345