Volume 18, Number 1, January-March 2012
|Page(s)||1 - 21|
|Published online||02 December 2010|
Stabilization of walls for nano-wires of finite length
MAB, UMR 5466, CNRS, Université Bordeaux 1,
351 cours de la Libération,
2 Université Joseph Fourier, Laboratoire Jean Kuntzmann, CNRS, UMR 5224, 51 rue des Mathématiques, B.P. 53, 38041 Grenoble Cedex 9, France
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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