Book Cover
E-book
Author Guo, Boling.

Title Landau-Lifshitz equations / Boling Guo, Shijin Ding
Published Singapore : World Scientific, [2008]
©2008
Online access available from:
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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 -- One-dimensional Landau-Lifshitz equations -- Landau-Lifshitz equations and harmonic maps -- Landau-Lifshitz-Maxwell equations -- Long time behavior of solutions to the system of ferromagnetic spin chain
Summary 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
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.)