The bifurcation diagrams for the Ginzburg-Landau system of superconductivity

被引：14
|
作者：
Aftalion, A
Du, Q
机构：
[1] Univ Paris 06, CNRS, F-75252 Paris 05, France
[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France
[3] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2002年 / 163卷 / 1-2期
关键词：
Ginzburg-Landau model; superconductivity; finite element method;
D O I：
10.1016/S0167-2789(01)00385-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide the different types of bifurcation diagrams for a superconducting cylinder placed in a magnetic field along the direction of the axis of the cylinder. The computation is based on the numerical solutions of the Ginzburg-Landau model by the finite element method. The response of the material depends on the values of the exterior field, the Ginzburg-Landau parameter and the size of the domain. The solution branches in the different regions of the bifurcation diagrams are analyzed and open mathematical problems are mentioned. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：94 / 105
页数：12
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