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Landau-Lifshitz Equations
Boling Guo
Shijin Ding
出版
World Scientific
, 2008
主題
Mathematics / Differential Equations / Partial
Mathematics / Geometry / General
Science / Physics / Electromagnetism
Science / Physics / Mathematical & Computational
ISBN
9812778764
9789812778765
URL
http://books.google.com.hk/books?id=CFphDQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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. Sample Chapter(s). Chapter 1: Spin Waves and Equations of Ferromagnetic Spin Chain (590 KB). Contents: Spin Waves and Equations of Ferromagnetic Spin Chain; Integrability of Heisenberg Chain; One-Dimensional Landau-Lifshitz Equations; LandauOCoLifshitz Equations and Harmonic Maps; LandauOCoLifshitzOCoMaxwell Equations; Long Time Behavior of Solutions to the System of Ferromagnetic Spin Chain. Readership: Mathematical physicists and researchers interested in Landau-Lifshitz equations."