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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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
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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