The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space

作     者：GUO ZiHua HUANG ChunYan 

作者机构：School of Mathematical Sciences Monash University School of Statistics and Mathematics Central University of Finance and Economics 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2017年第60卷第11期

页      面：2155-2172页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Australian Research Council Discovery Project (Grant No. DP170101060) National Natural Science Foundation of China (Grant No. 11201498) the China Scholarship Council (Grant No. 201606495010) 

主　　题：Landau Lifshitz Gilbert equation Schrdinger maps inviscid limit critical Besov space 

摘      要：We prove that in dimensions three and higher the Landau-Lifshitz-Gilbert equation with small initial data in the critical Besov space is globally well-posed in a uniform way with respect to the Gilbert damping parameter. Then we show that the global solution converges to that of the Schr¨odinger maps in the natural space as the Gilbert damping term vanishes. The proof is based on some studies on the derivative Ginzburg-Landau equations.