Landau-Lifshitz equations

Boling Guo, Shijin Ding

This is a comprehensive introduction to Landau-Lifshitz equations and Landau-Lifshitz-Maxwell equations, beginning with the work by Yulin Zhou and Boling Guo in the early 1980s and including most of the work done by this Chinese group led by Zhou and Guo since. The book focuses on aspects such as the existence of weak solutions in multi dimensions, existence and uniqueness of smooth solutions in one dimension, relations with harmonic map heat flows, partial regularity and long time behaviors. The book is a valuable reference book for those who are interested in partial differential equations, geometric analysis and mathematical physics. It may also be used as an advanced textbook by graduate students in these fields.

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  • Physical Background of Landau-Lifshitz Equations and Landau-Lifshitz-Maxwell Equations
  • Existence of Weak Solutions to Landau-Lifshitz Equations and Landau-Lifshitz-Maxwell Equations in Multi-Dimensions
  • Existence and Uniqueness of Smooth Solutions for Landau-Lifshitz Equations with or without Gilbert Damping in One Dimension
  • Discovery of the Relations with Harmonic Map Heat Flows and Partial Regularity for Chen-Struwe Solutions on Two Dimensional Riemannian Manifolds
  • Partial Regularity for Weak Solutions to Landau-Lifshitz Equations and Landau-Lifshitz-Maxwell Equations in Higher Dimensions
  • Long Time Behaviors and Attractors.

「Nielsen BookData」より


書名 Landau-Lifshitz equations
著作者等 Ding Shijin
Guo Boling
シリーズ名 Frontiers of research with the Chinese Academy of Sciences
出版元 World Scientific
刊行年月 c2008
ページ数 x, 403 p.
大きさ 24 cm
ISBN 9812778756
NCID BA85365624
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言語 英語
出版国 アメリカ合衆国