Instability of Ginzburg-Landau vortices on manifolds

被引：5

作者：

Chen, Ko-Shin ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2013年 / 143卷 / 02期

基金：

美国国家科学基金会;

关键词：

STABILITY; SYSTEM;

D O I：

10.1017/S0308210511000795

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate two settings of the Ginzburg-Landau system posed on a manifold where vortices are unstable. The first is an instability result for critical points with vortices of the Ginzburg-Landau energy posed on a simply connected, compact, closed 2-manifold. The second is a vortex annihilation result for the Ginzburg-Landau heat flow posed on certain surfaces of revolution with boundary.

引用

页码：337 / 350

页数：14

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