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Some blowup solutions about two systems derived from Landau-Lifshitz-Gilbert equation

机译:关于Landau-Lifshitz-Gilbert方程的两个系统的爆破解

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摘要

Two different systems which can be regard as the extreme cases of Landau-Lifshitz-Gilbert equation are considered. When the gyromagnetic term of Landau-Lifshitz-Gilbert equation vanishes away, we consider some special solutions for a modified harmonic map heat flow which map from (2 + 1)-dimensional space-time into the 2-sphere. The existence of regular initial data leading to blow up in finite time is established. When the Gilbert term is omitted, a blowup solution is obtained by constructing a blowup solution of Landau-Lif-shitz equation.
机译:考虑了两种不同的系统,可以将它们视为Landau-Lifshitz-Gilbert方程的极端情况。当Landau-Lifshitz-Gilbert方程的旋磁项消失时,我们考虑了一些改进的谐波映射热流的特殊解决方案,该热映射从(2 + 1)维时空映射到2球体内。建立了规则的初始数据的存在,导致在有限的时间内爆炸。当吉尔伯特项被省略时,通过构造Landau-Lif-shitz方程的爆破解来获得爆破解。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2013年第6期|4177-4188|共12页
  • 作者单位

    Department of Applied Mathematics, Beijing University of Technology, Beijing 100124, China;

    Department of Applied Mathematics, Beijing University of Technology, Beijing 100124, China;

    Department of Applied Mathematics, Beijing University of Technology, Beijing 100124, China,Nonlinear Center for Studies, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Landau-Lifshitz-Gilbert equation; Harmonic map; Heat flow; Blow up;

    机译:Landau-Lifshitz-Gilbert方程;谐波图;热流;爆炸;

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