Landau-Lifschitz-Gilbert equation with applied eletric current

Pages: 138 - 144, Issue Special, September 2007

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Gaël Bonithon - University Bordeaux 1, 351 cours de la Libération, 33405 TALENCE cedex, France (email)

Abstract: In this paper, we are concerned with a model of electric current effect in ferromagnetic materials, that is Landau-Lifschitz equation adding a transport term. We prove classical existence theorem in the general three dimensional case, and we justify a one dimensional approximation for wich we have the explicit behavior of the magnetisation.

Keywords:  Micromagnetism Landau-Lifschitz.
Mathematics Subject Classification:  Primary: 58F15, 58F17; Secondary: 53C35.

Received: September 2006;      Revised: February 2007;      Published: September 2007.