Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions
The paper deals with global existence of weak solutions to a one-dimensional mathematical model describing magnetoelastic interactions. The model is described by a fractional Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We prove...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/9238948 |
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| _version_ | 1832565744401907712 |
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| author | Idriss Ellahiani EL-Hassan Essoufi Mouhcine Tilioua |
| author_facet | Idriss Ellahiani EL-Hassan Essoufi Mouhcine Tilioua |
| author_sort | Idriss Ellahiani |
| collection | DOAJ |
| description | The paper deals with global existence of weak solutions to a one-dimensional mathematical model describing magnetoelastic interactions. The model is described by a fractional Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We prove global existence by using Faedo-Galerkin/penalty method. Some commutator estimates are used to prove the convergence of nonlinear terms. |
| format | Article |
| id | doaj-art-c9d32b18bb514baeb2b7ab247409fbdb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c9d32b18bb514baeb2b7ab247409fbdb2025-02-03T01:06:49ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/92389489238948Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic InteractionsIdriss Ellahiani0EL-Hassan Essoufi1Mouhcine Tilioua2Laboratoire MISI, FST Settat, Université Hassan I, 26000 Settat, MoroccoLaboratoire MISI, FST Settat, Université Hassan I, 26000 Settat, MoroccoLaboratoire M2I, FST Errachidia, Equipe MAMCS, Université Moulay Ismaïl, BP 509, Boutalamine, 52000 Errachidia, MoroccoThe paper deals with global existence of weak solutions to a one-dimensional mathematical model describing magnetoelastic interactions. The model is described by a fractional Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We prove global existence by using Faedo-Galerkin/penalty method. Some commutator estimates are used to prove the convergence of nonlinear terms.http://dx.doi.org/10.1155/2016/9238948 |
| spellingShingle | Idriss Ellahiani EL-Hassan Essoufi Mouhcine Tilioua Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions Abstract and Applied Analysis |
| title | Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions |
| title_full | Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions |
| title_fullStr | Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions |
| title_full_unstemmed | Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions |
| title_short | Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions |
| title_sort | global existence of weak solutions to a fractional model in magnetoelastic interactions |
| url | http://dx.doi.org/10.1155/2016/9238948 |
| work_keys_str_mv | AT idrissellahiani globalexistenceofweaksolutionstoafractionalmodelinmagnetoelasticinteractions AT elhassanessoufi globalexistenceofweaksolutionstoafractionalmodelinmagnetoelasticinteractions AT mouhcinetilioua globalexistenceofweaksolutionstoafractionalmodelinmagnetoelasticinteractions |