In this paper we study the asymptotic behavior of the solutions of time dependent micromagnetism problem in a structure consisting of two joined thin wires. We assume that the volumes of the two parts composing the multi-structure vanish with same rate. We obtain two 1D limit problems coupled by a junction condition on the magnetization. The limit problem remains non-convex, but now it becomes completely local.

Junction of quasi-stationary ferromagnetic wires

Carmen Perugia
2020-01-01

Abstract

In this paper we study the asymptotic behavior of the solutions of time dependent micromagnetism problem in a structure consisting of two joined thin wires. We assume that the volumes of the two parts composing the multi-structure vanish with same rate. We obtain two 1D limit problems coupled by a junction condition on the magnetization. The limit problem remains non-convex, but now it becomes completely local.
2020
Micromagnetics, wire, Landau–Lifschitz equation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/43514
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