Junction of quasi-stationary ferromagnetic thin films

Article type: Research Article

Authors: de Maio, Umberto^a | Faella, Luisa^{b; *} | Soueid, Salwa^{c; d}

Affiliations: [a] Dipartimento di Matematica ed Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Napoli, Italy. E-mail: [email protected] | [b] Dipartimento di Ingegneria Elettrica e dell’Informazione, Università degli Studi di Cassino e del Lazio Meridionale, Cassino, Italy. E-mail: [email protected] | [c] Laboratoire d’Analyse et de Mathématiques Appliquées, CNRS UMR 8050, Université Paris-Est, Créteil Cedex, France | [d] UFR des Sciences et Technologie, Université Blaise Pascal – Clermont-Ferrand en région Auvergne, Clermont-Ferrand Cedex, France. E-mail: [email protected]

Correspondence: [*] Corresponding author: Luisa Faella, Dipartimento di Ingegneria Elettrica e dell’Informazione, Università degli Studi di Cassino e del Lazio Meridionale, via G. Di Biasio n. 43, Cassino, FR, 03043, Italy. E-mail: [email protected].

Abstract: In this paper we study the asymptotic behavior of the solutions of time dependent micromagnetism problem in a multi-domain consisting of two joined ferromagnetic thin films. We distinguish different regimes depending on the limit of the ratio between the small thickness of the two films.

Keywords: micromagnetics, variational problem, thin films, Landau–Lifshitz equation

DOI: 10.3233/ASY-151311

Journal: Asymptotic Analysis, vol. 94, no. 3-4, pp. 211-240, 2015