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

被引：0
|
作者：
ZiHua Guo
ChunYan Huang
机构：
[1] Monash University,School of Mathematical Sciences
[2] Central University of Finance and Economics,School of Statistics and Mathematics
来源：
Science China Mathematics | 2017年 / 60卷
关键词：
Landau-Lifshitz-Gilbert equation; Schrödinger maps; inviscid imit; critical Besov space; 35Q55;
D O I：
暂无
中图分类号：
学科分类号：
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 Schrödinger maps in the natural space as the Gilbert damping term vanishes. The proof is based on some studies on the derivative Ginzburg-Landau equations.
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页码：2155 / 2172
页数：17
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