Front instability in a condensed phase combustion model

Advances in Nonlinear Analysis

article

Alexis Bonnet¹  Fathi Dkhil²  Elisabeth Logak¹ 

[1] Département de Mathématiques, Université de Cergy-Pontoise;Département de Mathématiques, Institut Supérieur d'Informatique, Université Tunis El-Manar

关键词: Reaction-diffusion system;    travelling wave;    solid combustion;    linear instability;    Evans function;   

DOI  :  10.1515/anona-2014-0018

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem. We estimate this functional in the high activation energy limit. We deduce the existence of zeros with nonnegative real part for high activation energy, which proves the linear instability of the travelling front solution.

【 授权许可】

CC BY