global existence of weak solutions to a fractional model in magnetoelastic interactions
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ID: 163570
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.
| Reference Key |
ellahiani2016abstractglobal
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|---|---|
| Authors | ;Idriss Ellahiani;EL-Hassan Essoufi;Mouhcine Tilioua |
| Journal | science and technology of advanced materials |
| Year | 2016 |
| DOI |
10.1155/2016/9238948
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