| Energy Estimate for the Type-Ⅱ Superconducting Film |
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| 引用本文： | Kwang Ik KIM Zu Han LIU. Energy Estimate for the Type-Ⅱ Superconducting Film[J]. 数学学报(英文版), 2008, 24(1): 75-86. DOI: 10.1007/s10114-007-1014-9 |
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| 作者姓名： | Kwang Ik KIM Zu Han LIU |
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| 作者单位： | [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 |
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| 基金项目： | Partially supported by the National Natural Science Foundation of China （No. 10071067, 10471119, 10771181）, EYTP |
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| 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.
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| 关 键 词： | 超导性 独立边界问题 能量估计 超导体薄膜 |
| 收稿时间： | 2005-10-18 |
| 修稿时间： | 2006-06-05 |
Energy estimate for the type-II superconducting film |
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| Kwang Ik Kim,Zu Han Liu. Energy estimate for the type-II superconducting film[J]. Acta Mathematica Sinica(English Series), 2008, 24(1): 75-86. DOI: 10.1007/s10114-007-1014-9 |
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| Authors: | Kwang Ik Kim Zu Han Liu |
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| Affiliation: | (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 |
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| Abstract: | We study the minimizers of the Ginzburg-Landau model for variable thickness, superconducting, thin films with high κ, placed in an applied magnetic field h ex , when h ex is of the order of the “first critical field”, i.e. of the order of |ln ε|. We obtain the asymptotic estimates of minimal energy and describe the possible locations of the vortices. Partially supported by the National Natural Science Foundation of China (No. 10071067, 10471119, 10771181), EYTP |
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| Keywords: | superconductivity Ginzburg-Landau functional free boundary problem |
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