ESAIM: Control, Optimisation and Calculus of Variations

Table of Contents - July 2009 - Volume 15, Issue 03  

Research Article

Magnetization switching on small ferromagnetic ellipsoidal samples

Alouges, Françoisa1 and Beauchard, Karinea2

a1 Laboratoire de Mathématiques, Bât. 425, Université Paris-Sud XI, 91405 Orsay Cedex, France. francois.alouges@math.u-psud.fr

a2 CMLA, ENS Cachan, CNRS, Universud, 61 Avenue du président Wilson, 94230 Cachan, France. Karine.Beauchard@cmla.ens-cachan.fr

Abstract

The study of small magnetic particles has become a very important topic, in particular for the development of technological devices such as those used for magnetic recording. In this field, switching the magnetization inside the magnetic sample is of particular relevance. We here investigate mathematically this problem by considering the full partial differential model of Landau-Lifschitz equations triggered by a uniform (in space) external magnetic field.

(Received December 19 2007)

(Online publication July 19 2008)

Key Words:

  • Landau-Lifschitz equation;
  • micromagnetics;
  • stabilization

Mathematics Subject Classification:

  • 49J15;
  • 35A05;
  • 35A07;
  • 35D05;
  • 35K20;
  • 35K55;
  • 35Q60