Existence of partially regular solutions for Landau-Lifshitz equations in R-3

Journal article

Abstract:: We establish the existence of partially regular weak solutions for the Landau-Lifshitz equation in three space dimensions for smooth initial data of finite Dirichlet energy. The construction is based on Ginzburg-Landau approximation. The new key ingredient is a nonlocal representation formula for the penalty term that permits us to take advantage of the special trilinear structure of the limiting nonlinearity. Copyright © Taylor and Francis, Inc.

Journal:: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS More from this journal
Volume:: 30
Issue:: 4-6
Pages:: 567-587
Publication date:: 2005-01-01
DOI:: 10.1081/PDE-200050122
ISSN:: 0360-5302

Language:: English
Keywords:: weak solutions

partial regularity

harmonic maps

Landau-Lifshitz equations

Ginzburg-Landau approximation
Pubs id:: pubs:16262
UUID:: uuid:11599065-e3c6-4035-8f68-456aa366339c
Local pid:: pubs:16262
Source identifiers:: 16262
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_11599065e3c640358f68456aa366339c

Licence:: Terms and Conditions of Use for Oxford University Research Archive

If you are the owner of this record, you can report an update to it here: Report update to this record