Modelization of a split in a ferromagnetic body by an equivalent boundary condition: Part II

Subtitle: The influence of super-exchange and surface anisotropy

Article type: Research Article

Authors: Santugini-Repiquet, Kévin

Affiliations: LAGA UMR 7539, Institut Galilée, Université Paris 13, 99 avenue J.B. Clément, 93430 Villetaneuse, France E-mail: santugin@math.univ-paris13.fr

Abstract: We continue the study of equivalent boundary conditions in ferromagnetic domains crossed by a thin split. In this second part, we add nonhomogeneous boundary conditions arising from interactions such as surface anisotropy and super-exchange. We expand the problem up to the first order and establish equivalent boundary conditions in presence of surface anisotropy and super-exchange. In particular, the well-posedness of the expansion problem with equivalent boundary condition and the convergence in some meaning of the expansion are proven.

Journal: Asymptotic Analysis, vol. 47, no. 3-4, pp. 261-290, 2006