Abstract
The effect of thin ferromagnetic films is studied in this paper. We shall adopt the Landau–Lifschitz–Gilbert equation as a phenomenological model for the ferromagnetic materials. Asymptotic analysis of the fields and the magnetization vector inside thin ferromagnetic films are performed and their convergences are established. Our results reveal the physical nature of this nonlinear model. They also provide an effective method for overcoming the computational difficulties that arise in thin ferromagnetic coatings.
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