A JUSTIFICATION OF NONLINEAR TWO-DIMENSIONAL MODEL FOR FERROMAGNETIC PLATES WITH MAGNETOSTRICTION

Mouna Kassan (1, 2) , Gilles Carbou (1) , Mustapha Jazar (2)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 LASeR - Lebanese Association for Scientific Research [Tripoli]

We consider a three-dimensional model of ferromagnetic material with magnetostriction, coupling the Landau-Lifschitz-Gilbert equation and the elasticity wave equation, with mixed boundary condition. We establish the existence of global in time weak solutions. By asymptotic method when the thickness of the sample tends to zero, we obtain and justify a new two-dimensional model for thin plates of ferromoagnetic magnetostrictive material.

Keywords: Magnetostriction weak solutions thin plates. AMS classification: 35K55 35Q55 35Q74; Magnetostriction; weak solutions; thin plates

Domains: Analysis of PDEs [math.AP]

Mouna Kassan, Gilles Carbou, Mustapha Jazar. A JUSTIFICATION OF NONLINEAR TWO-DIMENSIONAL MODEL FOR FERROMAGNETIC PLATES WITH MAGNETOSTRICTION. SIXTEENTH INTERNATIONAL CONFERENCE ZARAGOZA-PAU ON MATHEMATICS AND ITS APPLICATIONS, Sep 2022, Jaca,Huesca, Spain. ⟨hal-04037816⟩