DEVELOPMENT OF INTERFACES IN RN

被引：59

作者：

DEMOTTONI, P ^{[1
]}

SCHATZMAN, M ^{[1
]}

机构：

[1] UNIV LYON 1,ANAL NUMER LAB,F-69622 VILLEURBANNE,FRANCE

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1990年 / 116卷

关键词：

D O I：

10.1017/S0308210500031486

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the reaction-diffusion equation in R(n) x R+:u(t)-h2-DELTA-u + phi(u) = 0, where phi is the derivative of a bistable even potential, and h is a small parameter. If the initial data have a smooth noncritical zero set, we prove that an interface appears in time O(log(h-1)), and that the solution stays close to it for at least time O(1/square-root-h).

引用

页码：207 / 220

页数：14