A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics

The paper is concerned with a two-dimensional Landau-Lifshitz equation which was first raised by A. DeSimone and F. Otto, and so fourth, when studying thin film micromagnetics. We get the existence of a local weak solution by approximating it with a higher-order equation. Penalty approximation and s...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2009; no. 1; pp. 677 - 689
Main Author Li, Jingna
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2009
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Crystal structure
Mathematical problems
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Summary:The paper is concerned with a two-dimensional Landau-Lifshitz equation which was first raised by A. DeSimone and F. Otto, and so fourth, when studying thin film micromagnetics. We get the existence of a local weak solution by approximating it with a higher-order equation. Penalty approximation and semigroup theory are employed to deal with the higher-order equation.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1085-3375
1687-0409
DOI:10.1155/2009/603591