Global existence of weak solutions to a fractional model in magnetoelastic interactions (Q1669276)
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scientific article; zbMATH DE number 6929394
| Language | Label | Description | Also known as |
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| English | Global existence of weak solutions to a fractional model in magnetoelastic interactions |
scientific article; zbMATH DE number 6929394 |
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Global existence of weak solutions to a fractional model in magnetoelastic interactions (English)
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30 August 2018
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Summary: 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.
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