Ginzburg-Landau equation with DeGennes boundary condition

被引：19
作者：
Lu, KN [1 ]
Pan, XB [1 ]
机构：
[1] ZHEJIANG UNIV, CTR MATH SCI, HANGZHOU 310027, PEOPLES R CHINA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1996年 / 129卷 / 01期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
D O I：
10.1006/jdeq.1996.0114
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the asymptotic behavior of the positive solutions of the Ginzburg-Landau equation with the DeGennes boundary condition. This problem is closely related to the mathematical theory for superconductivity. We obtain the precise profile of boundary layer of the solutions and the estimates of their energy. These results are based on the uniqueness of positive solution of the limiting problem, which seems to be of independent interest. (C) 1996 Academic Press, Inc.
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收藏
页码：136 / 165
页数：30
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