Dynamics for vortices of an evolutionary Ginzburg-Landau equations in 3 dimensions

被引：4

作者：

Liu, ZH ^{[1
]}

机构：

[1] Yangzhou Univ, Normal Coll, Dept Math, Yangzhou 225002, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2002年 / 23卷 / 01期

关键词：

Ginzburg-Landau equations; vortex; curvature flow; asymptotic behavior;

D O I：

10.1142/S0252959902000110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the asymptotic behavior of solutions to an evolutionary Ginzburg-Landau equation in 3 dimensions. It is shown that the motion of the Ginzburg-Landau vortex curves is the flow by its curvature. Away from the vortices, the author uses some measure theoretic arguments used by F. H. Lin in [16] to show the strong convergence of solutions.

引用

页码：95 / 108

页数：14

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