A variational approach to singular perturbation problems in reaction-diffusion systems

被引：3

作者：

Ei, SI

Kuwamura, M ^{[1
]}

Morita, Y

机构：

[1] Kobe Univ, Fac Human Dev, Kobe, Hyogo 6578501, Japan

[2] Kyushu Univ, Fac Math, Fukuoka 8108560, Japan

[3] Ryukoku Univ, Dept Math & Informat Sci, Otsu, Shiga 5202194, Japan

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2005年 / 207卷 / 3-4期

关键词：

singular perturbation; transition layer; reduced energy;

D O I：

10.1016/j.physd.2005.05.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper singular perturbation problems in reaction-diffusion systems are studied from a viewpoint of variational principle. The goal of the study is to provide an unified and transparent framework to understand existence, stability and dynamics of solutions with transition layers in contrast to previous works in many literatures on singular perturbation theory. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：171 / 219

页数：49

共 37 条

[1] MICROSCOPIC THEORY FOR ANTIPHASE BOUNDARY MOTION AND ITS APPLICATION TO ANTIPHASE DOMAIN COARSENING [J].