| On Ginzburg-Landau Vortices of Superconducting Thin Films |
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| 引用本文： | Shi Jin DING Qiang DU. On Ginzburg-Landau Vortices of Superconducting Thin Films[J]. 数学学报(英文版), 2006, 22(2): 469-476. DOI: 10.1007/s10114-005-0550-4 |
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| 作者姓名： | Shi Jin DING Qiang DU |
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| 作者单位： | [1]Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China [2]Department of Mathematics, Penn State University, University Park, PA 16802, USA |
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| 基金项目： | This work is partially supported by the Natural Science Foundation of China （Nos. 19971030, 10471050） and the Natural Science Foundation of Cuangdong Province （No. 000671, No. 031495）. Du is partially supported by a grant from HKRCC |
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| 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.
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| 关 键 词： | 超导薄膜 旋涡结构 销连接机构 磁场 |
| 收稿时间： | 2003-07-01 |
| 修稿时间： | 2003-07-012005-01-04 |
On Ginzburg–Landau Vortices of Superconducting Thin Films |
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| Shi Jin Ding,Qiang Du. On Ginzburg–Landau Vortices of Superconducting Thin Films[J]. Acta Mathematica Sinica(English Series), 2006, 22(2): 469-476. DOI: 10.1007/s10114-005-0550-4 |
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| Authors: | Shi Jin Ding Qiang Du |
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| Affiliation: | (1) Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China;(2) Department of Mathematics, Penn State University, University Park, PA 16802, USA |
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| Abstract: | 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  where  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. This work is partially supported by the Natural Science Foundation of China (Nos. 19971030, 10471050) and the Natural Science Foundation of Guangdong Province (No. 000671, No. 031495). Du is partially supported by a grant from HKRGC |
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| Keywords: | Superconducting thin films Global minimizer Vortices Pinning mechanism |
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