Asymptotics for the time dependent Ginzburg-Landau equations

被引：3
|
作者：
Fan, JS [1 ]
Ding, SJ
机构：
[1] Nanjing Forestry Univ, Basic Courses Div, Nanjing 210037, Jiangsu, Peoples R China
[2] S China Normal Univ, Dept Math, Guangzhou 510631, Guangdong, Peoples R China
[3] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 152卷 / 02期
关键词：
asymptotic behavior; Ginzburg-Landau equations; heat flow for harmonic maps;
D O I：
10.1006/jdeq.1998.3539
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that as epsilon --> 0 the solution of the complex Ginzburg-Landau equation u(t) - Delta u = (1/epsilon(2)) u(1-\u\(2)), in Omega x R+ converges to the unique solution of the heat flow for harmonic maps Into S-1 under the assumption that the initial and boundary maps have zero degree. (C) 1999 Academic Press.
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页码：241 / 255
页数：15
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