Global weak Solutions for the Landau-Lifschitz equation with magnetostriction

Gilles Carbou (1) , M.A. Efendiev (2) , P. Fabrie (3)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 TUM - Technische Universität Munchen - Technical University Munich - Université Technique de Munich
3 IMB - Institut de Mathématiques de Bordeaux

In this paper we prove the global in time existence for weak solutions to a Landau-Lifschitz system with magnetostriction arising from ferromagnetism theory. We describe also the ω-limit set of a solution.

Mots clés: Landau-Lifschitz equation; magnetostriction; weak solutions; ferromagnetism

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Gilles Carbou, M.A. Efendiev, P. Fabrie. Global weak Solutions for the Landau-Lifschitz equation with magnetostriction. Mathematical Methods in the Applied Sciences, 2011, 34 (10), pp.1274-1288. ⟨10.1002/mma.1440⟩. ⟨hal-00868046⟩