Landau-Lifshitz equations
By: Boling Guo, Shijin Ding.
Contributors: Ding, Shijin, 1959-
Series: Frontiers of research with the Chinese Academy of Sciences -- v. 1
Publisher: World Scientific; World Scientific Publishing Company
Published: 2008
Place of publication: New Jersey
Language: eng
Number of pages: 403
ISBN-13: 9789812778758
Subjects: Differential equations, Partial -- Numerical solutions; Maxwell equations -- Numerical solutions; Geometry; Mathematical physics
Description: "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 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."--Jacket.
Notes: Includes bibliographical references (p. 393-403).
Table of contents: title: Spin waves and equations of ferromagnetic spin chain; title: Integrability of Heisenberg chain; title: One-dimensional Landau-Lifshitz equations; title: Landau-Lifshitz equations and harmonic maps; title: Landau-Lifshitz-Maxwell equations; title: Long time behavior of solutions to the system of ferromagnetic spin chain.