Ellahiani, I. and Essoufi, E.-H. and Tilioua, M. (2016) Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions. Abstract and Applied Analysis, 2016.
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Official URL: https://www.scopus.com/inward/record.uri?eid=2-s2....
Abstract
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. © 2016 Idriss Ellahiani et al.
Item Type: | Article |
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Subjects: | Mathematics |
Divisions: | SCIENTIFIC PRODUCTION > Mathematics |
Depositing User: | Administrateur Eprints Administrateur Eprints |
Last Modified: | 31 Jan 2020 15:48 |
URI: | http://eprints.umi.ac.ma/id/eprint/4009 |
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