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 te...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.展开更多
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.
文摘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.
