| Issue |
ESAIM: COCV
Volume 18, Number 1, January-March 2012
|
|
|---|---|---|
| Page(s) | 1 - 21 | |
| DOI | https://doi.org/10.1051/cocv/2010048 | |
| Published online | 02 December 2010 | |
Stabilization of walls for nano-wires of finite length
1
MAB, UMR 5466, CNRS, Université Bordeaux 1,
351 cours de la Libération,
33405
Talence Cedex,
France
carbou@math.u-bordeaux1.fr
2
Université Joseph Fourier, Laboratoire Jean Kuntzmann, CNRS, UMR
5224, 51 rue des
Mathématiques, B.P.
53, 38041
Grenoble Cedex 9,
France
stephane.labbe@imag.fr
Received:
30
March
2009
Revised:
24
March
2010
Revised:
27
September
2010
In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.
Mathematics Subject Classification: 35B35 / 35K55
Key words: Landau-Lifschitz equation / control / stabilization
© EDP Sciences, SMAI, 2010
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