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

Idriss Ellahiani, EL-Hassan Essoufi and Mouhcine Tilioua

Abstract and Applied Analysis, 2016, vol. 2016, 1-9

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:9238948

DOI: 10.1155/2016/9238948

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