Energy Estimate for the Type-Ⅱ Superconducting Film  

作　　者：Kwang Ik KIM Zu Han LIU 

机构地区：[1]Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Republic of Korea [2]Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第1期75-86,共12页数学学报（英文版）

基　　金：the National Natural Science Foundation of China (No.10071067,10471119,10771181);EYTP

摘　　要：We study the minimizers of the Ginzburg-Landau model for variable thickness, superconducting, thin films with high k, placed in an applied magnetic field hex, when hex is of the order of the ＂first critical field＂, i.e. of the order of ｜lnε｜. We obtain the asymptotic estimates of minimal energy and describe the possible locations of the vortices.We study the minimizers of the Ginzburg-Landau model for variable thickness, superconducting, thin films with high k, placed in an applied magnetic field hex, when hex is of the order of the ＂first critical field＂, i.e. of the order of ｜lnε｜. We obtain the asymptotic estimates of minimal energy and describe the possible locations of the vortices.

关 键 词：SUPERCONDUCTIVITY Ginzburg-Landau functional free boundary problem 

分 类 号：TM26[一般工业技术—材料科学与工程] O242.1[电气工程—电工理论与新技术]