1.

Record Nr.

UNINA9910782271503321

Autore

Guo Boling

Titolo

Landau-Lifshitz equations [[electronic resource] /] / Boling Guo, Shijin Ding

Pubbl/distr/stampa

New Jersey, : World Scientific, c2008

ISBN

1-281-93002-4

9786611930028

981-277-876-4

Descrizione fisica

1 online resource (414 p.)

Collana

Frontiers of research with the Chinese Academy of Sciences ; ; v. 1

Altri autori (Persone)

DingShijin <1959->

Disciplina

518/.64

Soggetti

Differential equations, Partial - Numerical solutions

Maxwell equations - Numerical solutions

Geometry

Mathematical physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 393-403).

Nota di contenuto

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.

Sommario/riassunto

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 1980's 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