Landau-Lifschitz-Gilbert equation with applied eletric current

Gaël Bonithon

doi:10.3934/proc.2007.2007.138

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2007, Volume 2007: 138-144. Doi: 10.3934/proc.2007.2007.138 open access

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Landau-Lifschitz-Gilbert equation with applied eletric current

Gaël Bonithon^1,

1.
University Bordeaux 1, 351 cours de la Libération, 33405 TALENCE cedex

Received: August 31, 2006

Revised: January 31, 2007

Published: August 2007

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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.

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