Geodesic
2D-1D dimensional reduction in a toy model for magnetoelastic interactions
Applications of Mathematics, Tome 56 (2011) no. 3, pp. 287-295.

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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.
DOI : 10.1007/s10492-011-0017-0
Classification : 35B40, 35D30, 35M33, 35Q60, 35Q74, 74B05, 78A25, 82D40
Keywords: magnetoelastic materials; Landau-Lifshitz-Gilbert equation; dimensional reduction 
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     title = {2D-1D dimensional reduction in a toy model for magnetoelastic interactions},
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Tilioua, Mouhcine. 2D-1D dimensional reduction in a toy model for magnetoelastic interactions. Applications of Mathematics, Tome 56 (2011) no. 3, pp. 287-295. doi : 10.1007/s10492-011-0017-0. http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0017-0/

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