Metastable travelling-wave solutions of singularly-perturbed reaction-diffusion equations

被引：4

作者：

Laforgue, JGL

O'Malley, RE

Ward, MJ

机构：

[1] Univ De Oriente, Dept Matemat, Cumana 6101A, Venezuela

[2] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA

[3] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[4] Univ Cambridge, Isaac Newton Inst Math Sci, Cambridge CB2 1TN, England

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 1998年 / 9卷

关键词：

D O I：

10.1017/S0956792598003416

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper determines the asymptotic solution of certain initial-boundary value problems for singularly-perturbed reaction-diffusion equations, including the Allen-Cahn and Cahn-Hilliard equations, on bounded one-dimensional spatial domains for r greater than or equal to 0. Attention is focused on the metastable evolution of a transition layer over an asymptotically exponentially-long time interval.

引用

页码：397 / 416

页数：20

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