On Ginzburg-Landau Vortices of Superconducting Thin Films

作     者：Shi Jin DING Qiang DU 

作者机构：Department of Mathematics South China Normal University Department of Mathematics Penn State University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第2期

页      面：469-476页

核心收录：

学科分类：080801[工学-电机与电器] 0808[工学-电气工程] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 0701[理学-数学] 

基　　金：partially supported by the Natural Science Foundation of China (Nos. 19971030, 10471050) the Natural Science Foundation of Guangdong Province (No. 000671, No. 031495) partially supported by a grant from HKRGC 

主　　题：Superconducting thin films Global minimizer Vortices Pinning mechanism 

摘      要：In this paper, we discuss the vortex structure of the superconducting thin films placed in a magnetic field. We show that the global minimizer of the functional modelling the superconducting thin films has a bounded number of vortices when the applied magnetic field hex 〈 Hc1 ＋ K log ｜ logε｜ where Hc1 is the lower critical field of the film obtained by Ding and Du in SIAM J. Math. Anal., 2002. The locations of the vortices are also given.