PARTIAL COMPACTNESS FOR LANDAU-LIFSHITZ MAXWELL EQUATION IN TWO-DIMENSION  

作　　者：寇艳蕾 丁时进 

机构地区：[1]Department of Mathematics, South China Normal University

出　　处：《Acta Mathematica Scientia》2011年第2期727-748,共22页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (10471050);Guangdong Provincial Natural Science Foundation (031495);National 973 Project (2006CB805902)

摘　　要：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 set of locally finite 2-dimensional parabolic Hausdorff measure, we prove the uniform local C∞ bounds for the approaching solutions and then extract a subsequence converging to a global weak solution of the Landau-Lifshitz-Maxwell equations which are smooth away from finitely many points.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 set of locally finite 2-dimensional parabolic Hausdorff measure, we prove the uniform local C∞ bounds for the approaching solutions and then extract a subsequence converging to a global weak solution of the Landau-Lifshitz-Maxwell equations which are smooth away from finitely many points.

关 键 词：Landau-Lifshitz-Maxwell equations ginzburg-landau approximations Haus-dorff measure partial regularity 

分 类 号：O175[理学—数学]