On a phase transition model

被引：12
|
作者：
Byeon, Jaeyoung [1 ]
Rabinowitz, Paul H. [1 ,2 ]
机构：
[1] POSTECH, Dept Math, Pohang 790784, Kyungbuk, South Korea
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 47卷 / 1-2期
基金：
新加坡国家研究基金会;
关键词：
ALLEN-CAHN EQUATIONS; STATIONARY LAYERED SOLUTIONS; PERIODIC MEDIA; ELLIPTIC PROBLEMS; MIXED STATES; R-N; R-2; MULTIPLICITY; MINIMIZERS; BANGERT;
D O I：
10.1007/s00526-012-0507-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：23
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