Asymptotic solution of activator inhibitor systems for nonlinear reaction diffusion equations

被引：35

作者：

Mo, Jiaqi ^{[1
,2
]}

Lin, Wantao ^{[3
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China

[2] SJTU, Shanghai Univ E Inst, Div Computat Sci, Shanghai 200240, Peoples R China

[3] Chinese Acad Sci, LASG, Inst Atmospher Phys, Beijing 100029, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2008年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

activator system; nonlinear; reaction diffusion; singular perturbation;

D O I：

10.1007/s11424-008-9071-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonlinear reaction diffusion equations for activator inhibitor systems is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the variables of multiple scales and the expanding theory of power series the formal asymptotic expansions of the solution are constructed, and finally, using the theory of differential inequalities the uniform validity and asymptotic behavior of the solution are studied.

引用

页码：119 / 128

页数：10

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