Smooth control of nanowires by means of a magnetic field

Gilles Carbou; Stéphane Labbé; Emmanuel Trélat

doi:10.3934/cpaa.2009.8.871

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2009, Volume 8, Issue 3: 871-879. Doi: 10.3934/cpaa.2009.8.871

This issue Previous Article Classical limit for linear and nonlinear quantum Fokker-Planck systems Next Article On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

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
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: May 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B37, 93D15; Secondary: 93C20.

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