Supported by National Natural Science Foundation of China (Grant No. 10471050) and Guangdong Provincial Natural Science Foundation (Grant No. 7005795), National 973 Project (Grant No. 2006CB805902) and University Special Research Foundation for PhD Program (Grant No. 20060574002)
In this paper, the authors discuss the vortex structure of an anisotropic Ginzburg-Landau model for superconducting thin film proposed by Du. We obtain the estimate for the lower critical magnetic field Hc1 which is t...
supported by the National Natural Science Foundation of China (10471050);Guangdong Provincial Natural Science Foundation (031495);National 973 Project (2006CB805902)
We study the partial regularity of weak solutions to the 2-dimensional Landau- Lifshitz equations coupled with time dependent Maxwell equations by Ginzburg-Landau type approximation. Outside an energy concentration se...
supported by the National Natural Science Foundation of China(10471050);the National 973 Project of China (2006CB805902);University Special Research Fund for Ph.DProgram (20060574002);Guangdong Provincial Natural Science Foundation (7005795, 031495)
In this article, using coordinate transformation and Gronwall inequality, we study the vortex motion law of the anisotropic Cinzburg-Landau equation in a smooth bounded domain Ω (R^2,that is ,Эtuε=j,k=1∑2(ajkЭ...
Project supported by the National Natural Science Foundation of China (Nos.10576013,10471050);the Natural Science Foundation of Guangdong Province of China (No.5300889)
In this paper, we study the initiial-boundary value problem of one class of nonlinear Schrodinger equations described in molecular crystals. Furthermore, the existence of the global solution is obtained by means of in...
The second author is partially supported by the National Natural Science Foundation of China (Grant No.10471050), the National 973 project (Grant No. 2006CB805902) and by Guangdong Provincial Natural Science Foundation (Grant No.031495).
We consider the partial regularity of weak solutions to the weighted Landau-Lifshitz flow on a 2-dimensional bounded smooth domain by Ginzburg-Landau type approximation. Under the energy smallness condition, we prove ...
The second author is partially supported by the National Natural Science Foundation of China (10471050);Guangdong Provincial Natural Science Foundation(031495);National 973 Project(2006CB805902).
In this paper, it is proved that for any given d non-degenerate local minimum points of the renormalized energy of weighted Ginzburg-Landau eqautions, one can find solutions to the Ginzburg-Landau equations whose vort...