Multi-Vortex Non-radial Solutions to the Magnetic Ginzburg-Landau Equations

被引：4

作者：

Ting, F. ^{[1
]}

Wei, J. ^{[2
]}

机构：

[1] Lakehead Univ, Dept Math Sci, Thunder Bay, ON P7B 5E1, Canada

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 317卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

EFFECTIVE DYNAMICS; STABILITY; VORTICES; LATTICES;

D O I：

10.1007/s00220-012-1612-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that there exists multi-vortex, non-radial, finite energy solutions to the magnetic Ginzburg-Landau equations on all of . We use Lyapunov-Schmidt reduction to construct solutions which are invariant under rotations by (but not by rotations in O(2) in general) and reflections in the x- axis for some k a parts per thousand yen 7.

引用

页码：69 / 97

页数：29

共 29 条

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