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Stabilization of walls for nano-wires of finite length

Published online by Cambridge University Press:  02 December 2010

Gilles Carbou  and
Stéphane Labbé
Gilles Carbou
Affiliation:
MAB, UMR 5466, CNRS, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence Cedex, France. [email protected]
Stéphane Labbé
Affiliation:
Université Joseph Fourier, Laboratoire Jean Kuntzmann, CNRS, UMR 5224, 51 rue des Mathématiques, B.P. 53, 38041 Grenoble Cedex 9, France; [email protected]
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Abstract

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.

Keywords

Landau-Lifschitz equationcontrolstabilization
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 18 , Issue 1 , January 2012 , pp. 1 - 21
Copyright
© EDP Sciences, SMAI, 2010

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