Explicit piecewise smooth solutions of Landau-Lifshitz equation with discontinuous external field

被引：0
作者：
Gan-shan Yang
Yun-zhang Zhang
Li-min Liu
机构：
[1] Yunnan Normal University,Institute of Mathematics Science
[2] Xi’an Jiaotong University,Faculty of Science
[3] Chongqing University,College of Mathematics and Physics
[4] Yunnan National University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2009年 / 25卷
关键词：
Multidimensional Landau-Lifshitz equation; discontinuous external field; piecewise smooth solution; 35D10; 35Q80;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we shall construct some explicit piecewise smooth (global continuous) solutions as well as blow up solutions to the multidimensional Landau-Lifshitz equation, subject to the external magnetic fields being both discontinuous and unbounded. When the external magnetic field is continuous, some explicit exact smooth solutions and blow up solution are also constructed. We also establish some necessary and sufficient conditions to ensure that the solution of multidimensional Landau-Lifshitz equation with external magnetic field converges to the solution of equation without external magnetic field when the external magnetic field tends to zero.
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页码：61 / 74
页数：13
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