Description 
1 online resource (x, 403 pages) : illustrations 
Series 
Frontiers of Research with the Chinese Academy of Sciences 

Frontiers of research with the Chinese Academy of Sciences.

Contents 
Spin waves and equations of ferromagnetic spin chain  Integrability of Heisenberg chain  Onedimensional LandauLifshitz equations  LandauLifshitz equations and harmonic maps  LandauLifshitzMaxwell equations  Long time behavior of solutions to the system of ferromagnetic spin chain 
Summary 
This is a comprehensive introduction to LandauLifshitz equations and LandauLifshitzMaxwell 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 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Differential equations, Partial  Numerical solutions.


Geometry.


Mathematical physics.


Maxwell equations  Numerical solutions.

Form 
Electronic book

Author 
Ding, Shijin, 1959

ISBN 
9789812778765 (electronic bk.) 

9812778764 (electronic bk.) 
