2D-1D Dimensional reduction in a toy model for magnetoelastic interactions |
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Authors: | Mouhcine Tilioua |
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Institution: | 1.Errachidia,Morocco;2.Département de Mathématiques,Université Moulay Isma?l, Faculté des Sciences et Techniques,Boutalamine,Morocco |
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Abstract: | The paper deals with the dimensional reduction from 2D to 1D in magnetoelastic interactions. We adopt a simplified, but nontrivial
model described by the Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the
displacement. We identify the limit problem by using the so-called energy method. |
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