Landau-Lifschitz-Gilbert equation with applied electric current

G. Bonithon (1)

1 MAB - Laboratoire de Mathématiques Appliquées de Bordeaux

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.

Mots clés: Micromagnetism; Landau-Lifschitz

Domaines: Equations aux dérivées partielles [math.AP]

G. Bonithon. Landau-Lifschitz-Gilbert equation with applied electric current. The 6th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Jun 2006, Poitiers, France. pp.138-144. ⟨hal-00588371⟩