2D-1D dimensional reduction in a toy model for magnetoelastic interactions
Applications of Mathematics (2011)
- Volume: 56, Issue: 3, page 287-295
- ISSN: 0862-7940
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topTilioua, Mouhcine. "2D-1D dimensional reduction in a toy model for magnetoelastic interactions." Applications of Mathematics 56.3 (2011): 287-295. <http://eudml.org/doc/116527>.
@article{Tilioua2011,
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.},
author = {Tilioua, Mouhcine},
journal = {Applications of Mathematics},
keywords = {magnetoelastic materials; Landau-Lifshitz-Gilbert equation; dimensional reduction; magnetoelastic materials; Landau-Lifshitz-Gilbert equation; dimensional reduction},
language = {eng},
number = {3},
pages = {287-295},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {2D-1D dimensional reduction in a toy model for magnetoelastic interactions},
url = {http://eudml.org/doc/116527},
volume = {56},
year = {2011},
}
TY - JOUR
AU - Tilioua, Mouhcine
TI - 2D-1D dimensional reduction in a toy model for magnetoelastic interactions
JO - Applications of Mathematics
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 3
SP - 287
EP - 295
AB - 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.
LA - eng
KW - magnetoelastic materials; Landau-Lifshitz-Gilbert equation; dimensional reduction; magnetoelastic materials; Landau-Lifshitz-Gilbert equation; dimensional reduction
UR - http://eudml.org/doc/116527
ER -
References
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