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Vortex-lines motion for the Ginzburg-Landau equation with impurity

Vortex-lines motion for the Ginzburg-Landau equation with impurity
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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. 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.
作者 Zu-han LIU
机构地区 Department of Mathematics
出处 《Science China Mathematics》 SCIE 2007年第12期1705-1734,共30页 中国科学：数学（英文版）
基金 This work is partially supported by the National Natural Science Foundation of China (Grant Nos.10071067,10471119) the Excellent Yong Teachers Program of the Ministry of Education of China.
关键词 mean CURVATURE flow vortices geometric measure theory GINZBURG-LANDAU equations mean curvature flow vortices geometric measure theory Ginzburg-Landau equations
分类号 N [自然科学总论]
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Science China Mathematics
2007年 第12期

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