INVARIANT-MANIFOLDS FOR METASTABLE PATTERNS IN UT=EPSILON-2UXX-F(U)

被引：69

作者：

CARR, J ^{[1
]}

PEGO, R ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109

来源：

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

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0308210500031425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the above equation on the interval 0≦x≦1 subject to Neumann boundary conditions with f(u) = F′(u) where F is a double well energy density function with equal minima. Our previous work [3] proved the existence and persistence of very slowly evolving patterns (metastable states) in solutions with two-phase initial data. Here we characterise these metastable states in terms of the global unstable manifolds of equilibria, as conjectured by Fusco and Hale [6]. © 1990, Royal Society of Edinburgh. All rights reserved.

引用

页码：133 / 160

页数：28

共 13 条

[1]

Bates P, 1989, DYNAMICS REPORTED, V2, P1

[2]

BRUNOVSKY P, 1988, DYN REP, V1, P57

[3] METASTABLE PATTERNS IN SOLUTIONS OF UT=E2UXX-F(U) [J].