# American Institute of Mathematical Sciences

May  2009, 8(3): 871-879. doi: 10.3934/cpaa.2009.8.871

## Smooth control of nanowires by means of a magnetic field

 1 MAB, UMR 5466, CNRS, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex 2 Université Joseph Fourier, Laboratoire Jean Kuntzmann, CNRS, UMR 5224, 51 rue des Mathématiques, B.P. 53, 38041 Grenoble Cedex 9, France 3 Université d’Orléans, UFR Sciences, Fédération Denis Poisson Mathématiques, Laboratoire MAPMO, UMR 6628, Route de Chartres, BP 6759, 45067 Orléans Cedex 2

Received  June 2008 Revised  November 2008 Published  February 2009

We address the problem of control of the magnetic moment in a ferromagnetic nanowire by means of a magnetic field. Based on theoretical results for the 1D Landau-Lifschitz equation, we show a robust controllability result.
Citation: Gilles Carbou, Stéphane Labbé, Emmanuel Trélat. Smooth control of nanowires by means of a magnetic field. Communications on Pure & Applied Analysis, 2009, 8 (3) : 871-879. doi: 10.3934/cpaa.2009.8.871
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