Asymptotic Analysis for micromagnetics on thin films governed by indefinite material coefficient

Rejeb Hadiji (1) , Ken Shirakawa (2)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 Department of Applied Mathematics Graduate School of System Informatics

Abstract.In this paper, a class of minimization problems, associated with the micromagnetics of thin films, is dealt with. Each minimization problem is distinguished by the thickness of the thin film, denoted by 0 < h <1, and it is considered under spatial indefinite and degenerative setting of the material coefficients. On the basis of the fundamental studies of the governing energy functionals, the existence of minimizers, for every 0< h <1, and the 3D-2Dasymptotic analysis for the observing minimization problems, as h tends to 0, will be demonstrated in the main theorem of this paper

Mots clés: Micromagnetics of thin film; indefinite and degenerative material co-efficient; 3D-2D asymptotic analysis

Domaines: Equations aux dérivées partielles [math.AP]

Rejeb Hadiji, Ken Shirakawa. Asymptotic Analysis for micromagnetics on thin films governed by indefinite material coefficient. Communications on Pure and Applied Mathematics, 2010, 9 (no 5), p. 1345-1361. ⟨hal-00795498⟩