Homogenization results for a Landau–Lifshitz–Gilbert equation in composite materials with transmission defects. Issue 12 (13th August 2022)

• Record Type: Journal Article
• Authors: Choquet, C.; Ouhadan, M.; Tilioua, M.
• Is Part Of: Applicable analysis. Volume 101:Issue 12(2022)
• Page Start: 4126
• Page End: 4148
• Publication Date: 2022-08-13
• Subjects: Homogenization -- Landau–Lifshitz–Gilbert equation -- ferromagnetic materials -- periodic unfolding method -- composite materials -- imperfect interface; 35B27 -- 78A25 -- 35Q60 -- 35B40 -- 82D40 -- 74A40; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2022.2027386
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : We study the homogenization of Landau–Lifshitz–Gilbert equation in a ϵ -periodic composite material formed by two constituents, separated by an imperfect interface Γ ϵ, on which we prescribe the continuity of the conormal derivatives and a jump of the solution proportional to the conormal derivative, by means of a coefficient of order ϵ γ . We use the periodic unfolding method together with extension operators for handling the nonlinearities to identify the limit problem when tuning up the parameter γ in R .