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.
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页码：397 / 416
页数：20
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