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.

引用

页码：241 / 255

页数：15

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