ASYMPTOTIC SOLUTION OF ACTIVATOR INHIBITOR SYSTEMS FOR NONLINEAR REACTION DIFFUSION EQUATIONS

作     者：Jiaqi MO Wantao LIN 

作者机构：Department of Mathematics Anhui Normal University Wuhu 241000 China Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240 China. LASG Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 China. 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2008年第21卷第1期

页      面：119-128页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China under Grant Nos.40676016 and 10471039 the National Key Project for Basics Research under Grant Nos.2003CB415101-03 and 2004CB418304 the Key Project of the Chinese Academy of Sciences under Grant No.KZCX3-SW-221 in part by E-Insitutes of Shanghai Municipal Education Commission under Grant No.E03004 

主　　题：Activator system nonlinear reaction diffusion singular perturbation. 

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.