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 1 limit problems coupled by a junction condition on the magnetization. The limit problem remains non-convex, but now it becomes completely local.
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Khaled Chacouche, Luisa Faella, Carmen Perugia, Junction of quasi-stationary ferromagnetic wires. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 1, pp. 25–56DOI 10.4171/RLM/878