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.

Quasi-stationary ferromagnetic problem for thin multi-structures

FAELLA, Luisa
;
PERUGIA, Carmen
2017-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11580/63829
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