| Vortex-lines motion for the Ginzburg-Landau equation with impurity |
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| 作者姓名： | Zu-han LIU |
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| 作者单位： | Zu-han LIU Department of Mathematics，Xuzhou Normal University，Xuzhou 221116，China |
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| 摘 要： | In this paper,we study the asymptotic behavior of solutions of the Ginzburg-Landau equation with impurity.We prove that,asymptotically,the vortex-lines evolve according to the mean curvature flow with a forcing term in the sense of the weak formulation.
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| 收稿时间： | 14 May 2006 |
| 修稿时间： | 8 December 2006 |
Vortex-lines motion for the Ginzburg-Landau equation with impurity |
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| Zu-han LIU.Vortex-lines motion for the Ginzburg-Landau equation with impurity[J].Science in China(Mathematics),2007,50(12):1705-1734. |
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| Authors: | Zu-han LIU |
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| Institution: | Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China |
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| Abstract: | In this paper,we study the asymptotic behavior of solutions of the Ginzburg-Landau equation with impurity.We prove that,asymptotically,the vortex-lines evolve according to the mean curvature flow with a forcing term in the sense of the weak formulation. |
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| Keywords: | mean curvature flow vortices geometric measure theory Ginzburg-Landau equations |
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