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2007, 2007(Special): 138-144. doi: 10.3934/proc.2007.2007.138

Landau-Lifschitz-Gilbert equation with applied eletric current

Gaël Bonithon 1,

1. 

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

Received  September 2006 Revised  February 2007 Published  September 2007

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: 53C3.
Citation: Gaël Bonithon. Landau-Lifschitz-Gilbert equation with applied eletric current. Conference Publications, 2007, 2007 (Special) : 138-144. doi: 10.3934/proc.2007.2007.138
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