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.
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 
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
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     title = {2D-1D dimensional reduction in a toy model for magnetoelastic interactions},
     journal = {Applications of Mathematics},
     pages = {287--295},
     year = {2011},
     volume = {56},
     number = {3},
     doi = {10.1007/s10492-011-0017-0},
     mrnumber = {2800579},
     zbl = {1224.35058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0017-0/}
}
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