Time Average in Micromagnetism

Gilles Carbou (1) , Pierre Fabrie (2)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 IMB - Institut de Mathématiques de Bordeaux

In this paper we study a model of ferromagnetic material governed by a nonlinear Laudau-Lifschitz equation coupled with Maxwell equations. We prove the existence of weak solutions. Then we prove that all points of the ω-limit set of any trajectories are solutions of the stationary model. Furthermore we derive rigourously the quasistatic model by an appropriate time average method.

Domaines: Equations aux dérivées partielles [math.AP]

Gilles Carbou, Pierre Fabrie. Time Average in Micromagnetism. Journal of Differential Equations, 1998. ⟨hal-01728863⟩