Existence of partially regular solutions for Landau-Lifshitz equations in R-3
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 th...
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| Format: | Journal article |
| Language: | English |
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2005
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| _version_ | 1797054247126171648 |
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| author | Melcher, C |
| author_facet | Melcher, C |
| author_sort | Melcher, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T18:54:30Z |
| format | Journal article |
| id | oxford-uuid:11599065-e3c6-4035-8f68-456aa366339c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:54:30Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:11599065-e3c6-4035-8f68-456aa366339c2022-03-26T10:01:53ZExistence of partially regular solutions for Landau-Lifshitz equations in R-3Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:11599065-e3c6-4035-8f68-456aa366339cEnglishSymplectic Elements at Oxford2005Melcher, CWe 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. |
| spellingShingle | Melcher, C Existence of partially regular solutions for Landau-Lifshitz equations in R-3 |
| title | Existence of partially regular solutions for Landau-Lifshitz equations in R-3 |
| title_full | Existence of partially regular solutions for Landau-Lifshitz equations in R-3 |
| title_fullStr | Existence of partially regular solutions for Landau-Lifshitz equations in R-3 |
| title_full_unstemmed | Existence of partially regular solutions for Landau-Lifshitz equations in R-3 |
| title_short | Existence of partially regular solutions for Landau-Lifshitz equations in R-3 |
| title_sort | existence of partially regular solutions for landau lifshitz equations in r 3 |
| work_keys_str_mv | AT melcherc existenceofpartiallyregularsolutionsforlandaulifshitzequationsinr3 |