Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions

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: Idriss Ellahiani, EL-Hassan Essoufi, Mouhcine Tilioua
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/9238948
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spelling doaj-c9d32b18bb514baeb2b7ab247409fbdb2020-11-25T01:06:50ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Idriss Ellahiani
EL-Hassan Essoufi
Mouhcine Tilioua
spellingShingle Idriss Ellahiani
EL-Hassan Essoufi
Mouhcine Tilioua
Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions
Abstract and Applied Analysis
author_facet Idriss Ellahiani
EL-Hassan Essoufi
Mouhcine Tilioua
author_sort Idriss Ellahiani
title 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_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_sort global existence of weak solutions to a fractional model in magnetoelastic interactions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2016-01-01
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.
url http://dx.doi.org/10.1155/2016/9238948
work_keys_str_mv AT idrissellahiani globalexistenceofweaksolutionstoafractionalmodelinmagnetoelasticinteractions
AT elhassanessoufi globalexistenceofweaksolutionstoafractionalmodelinmagnetoelasticinteractions
AT mouhcinetilioua globalexistenceofweaksolutionstoafractionalmodelinmagnetoelasticinteractions
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