Thin ferromagnetic plates with magnetostriction

Article type: Research Article

Authors: Kassan, Mouna^{a; b} | Carbou, Gilles^{b; *} | Jazar, Mustapha^a

Affiliations: [a] LaMA, Laboratoire de Mathématiques et Applications, Lebanese University, Tripoli, Lebanon | [b] Universite de Pau et des Pays de l’Adour, E2S UPPA, CNRS, LMAP, Pau, France

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: In this paper, we establish the existence of global-in-time weak solutions for the Landau–Lifschitz–Gilbert equation with magnetostriction in the case of mixed boundary conditions. From this model, we derive by asymptotic method a two-dimensional model for thin ferromagnetic plates taking into account magnetostrictive effects.

Keywords: Ferromagnetism, magnetostriction, weak solutions, thin plates

DOI: 10.3233/ASY-241899

Journal: Asymptotic Analysis, vol. 139, no. 1-2, pp. 31-59, 2024