A VARIATIONAL PROBLEM RELATED TO THE GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY WITH NORMAL IMPURITY INCLUSION

Authors
DING SJ LIU ZH YU WH
Citation
Sj. Ding et al., A VARIATIONAL PROBLEM RELATED TO THE GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY WITH NORMAL IMPURITY INCLUSION, SIAM journal on mathematical analysis, 29(1), 1998, pp. 48-68
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
29
Issue
1
Year of publication
1998
Pages
48 - 68
Database
ISI
SICI code
0036-1410(1998)29:1<48:AVPRTT>2.0.ZU;2-H
Abstract
A variational problem related to the Ginzburg-Landau model of supercon ductivity with normal impurity inclusion is considered. A standing fea ture of this problem is the vortex-pinning effect (i.e., the zeros of solutions are attracted to the region occupied by the normal impuritie s) as some parameters are sufficiently small. Asymptotic behaviors of the solutions of this problem as these parameters tend to zero is stud ied, and the vortex-pinning effect is proved.