Stability criteria for reaction-diffusion systems with skew-gradient structure

被引：19

作者：

Chen, Chao-Nien ^{[1
]}

Hu, Xijun ^{[2
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan

[2] Chinese Acad Sci, AMSS, Inst Math, Beijing, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 33卷 / 02期

关键词：

reaction-diffusion system; relative Morse index; skew-gradient structure; stability;

D O I：

10.1080/03605300601188755

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with reaction-diffusion systems with skew-gradient structure. In connection with calculus of variations, we show that there is a close relation between the stability of a steady state and its relative Morse index. The stability criteria presented here were partially motivated by some recent works of Yanagida.

引用

页码：189 / 208

页数：20

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