Stability of n-vortices in the Ginzburg-Landau equation

被引：2

作者：

Coleman, J ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-00-05695-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the class of n-vortex solutions to the time-independent Ginzburg-Landau equation on R-2. We prove an inequality governing the solutions of a particular boundary value problem. This inequality is crucial for an elementary proof by Ovchinnikov and Sigal that such n-vortices are unstable in the case \n\ greater than or equal to 2.

引用

页码：1567 / 1569

页数：3

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