Quasi-stationary ferromagnetic problem for thin multi-structures

In this paper we study the asymptotic behavior of the solutions of time dependent micromagnetism problem in a multi-domain consisting of a thin-wire in junction with a thin lm. We assume that the volumes of the two parts composing each multi-structure vanish with same rate. We obtain a 1D limit problem on the thin-wire and a 2D limit problem on the thin lm, and the two limit problems are uncoupled. The limit problem remains non-convex, but now it becomes completely local.