Vortex pinning with bounded fields for the Ginzburg-Landau equation

被引：25

作者：

Andre, N

Bauman, P

Phillips, D ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Univ Tours, Dept Math, F-37200 Tours, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2003年 / 20卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0294-1449(02)00021-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate vortex pinning in solutions to the Ginzburg-Landau equation. The coefficient, a (x), in the Ginzburg-Landau free energy modeling non-uniform superconductivity is nonnegative and is allowed to vanish at a finite number of points. For a sufficiently large applied magnetic field and for all sufficiently large values of the Ginzburg-Landau parameter kappa = 1/epsilon, we show that minimizers have nontrivial vortex structures. We also show the existence of local minimizers exhibiting arbitrary vortex patterns, pinned near the zeros of a (x). (C) 2003 Editions scientifiques et medicales Elsevier SAS.

引用

页码：705 / 729

页数：25

共 14 条

[1]

AFTALION A, PINNING PHENOMENA GI

[2] THE APPROXIMATION PROBLEM FOR SOBOLEV MAPS BETWEEN 2 MANIFOLDS [J].