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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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/603591 |
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| _version_ | 1849402291915849728 |
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| author | Jingna Li |
| author_facet | Jingna Li |
| author_sort | Jingna Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8aa345357f5c4645b51e5b065c4d6b7b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8aa345357f5c4645b51e5b065c4d6b7b2025-08-20T03:37:34ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/603591603591A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film MicromagneticsJingna Li0Department of Mathematics, Jinan University, Guangzhou 510632, ChinaThe 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.http://dx.doi.org/10.1155/2009/603591 |
| spellingShingle | Jingna Li A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics Abstract and Applied Analysis |
| title | A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics |
| title_full | A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics |
| title_fullStr | A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics |
| title_full_unstemmed | A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics |
| title_short | A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics |
| title_sort | two dimensional landau lifshitz model in studying thin film micromagnetics |
| url | http://dx.doi.org/10.1155/2009/603591 |
| work_keys_str_mv | AT jingnali atwodimensionallandaulifshitzmodelinstudyingthinfilmmicromagnetics AT jingnali twodimensionallandaulifshitzmodelinstudyingthinfilmmicromagnetics |