On a phase transition model

被引：0
|
作者：
Jaeyoung Byeon
Paul H. Rabinowitz
机构：
[1] POSTECH,Department of Mathematics
[2] University of Wisconsin Madison,Department of Mathematics
来源：
Calculus of Variations and Partial Differential Equations | 2013年 / 47卷
关键词：
35A15; 35B27; 35J20; 35J91; 58E30; 82B26;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An Allen–Cahn phase transition model with a periodic nonautonomous term is presented for which an infinite number of transition states is shown to exist. A constrained minimization argument and the analysis of a limit problem are employed to get states having a finite number of transitions. A priori bounds and an approximation procedure give the general case. Decay properties are also studied and a sharp transition result with an arbitrary interface is proved.
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页码：1 / 23
页数：22
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