The ground state energy of the two dimensional Ginzburg-Landau functional with variable magnetic field

被引：16

作者：

Attar, K. ^{[1
,1
]}

机构：

[1] Univ Libanaise, Lab Math, Hadath, Beyrouth, Lebanon

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2015年 / 32卷 / 02期

关键词：

Superconductivity; Ginzburg-Landau; Variable magnetic field; SURFACE SUPERCONDUCTIVITY; H-C2;

D O I：

10.1016/j.anihpc.2013.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Ginzburg-Landau functional with a variable applied magnetic field in a bounded and smooth two dimensional domain. We determine an accurate asymptotic formula for the minimizing energy when the Ginzburg Landau parameter and the magnetic field are large and of the same order. As a consequence, it is shown how bulk superconductivity decreases in average as the applied magnetic field increases. (C) 2014 Elsevier Masson SAS. All rights reserved.

引用

页码：325 / 345

页数：21

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