Stability of Cahn-Hilliard fronts

被引：0
作者：
Bricmont, J [1 ]
Kupiainen, A
Taskinen, J
机构：
[1] Univ Catholique Louvain, Inst Phys Theor, B-1348 Louvain, Belgium
[2] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1999年 / 52卷 / 07期
关键词：
D O I：
10.1002/(SICI)1097-0312(199907)52:7<839::AID-CPA4>3.3.CO;2-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove stability of the kink solution of the Cahn-Hilliard equation partial derivative(t)u = partial derivative(x)(2)(-partial derivative(x)(2)u - u/2 + u(3)/2), x is an element of R. The proof is based on an inductive renormalization group method, and we obtain detailed asymptotics of the solution as t --> infinity. We prove stability of the kink solution of the Cahn-Hilliard equation partial derivative(t)u = partial derivative(x)(2)(-partial derivative(x)(2)u - u/2 + u(3)/2), x is an element of R. The proof is based on an inductive renormalization group method, and we obtain detailed asymptotics of the solution as t --> infinity. (C) 1999 John Wiley & Sons, Inc.
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页码：839 / 871
页数：33
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