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Homogenization of micromagnetics large bodies

Published online by Cambridge University Press:  15 March 2004

Giovanni Pisante
Giovanni Pisante*
Affiliation:
Dipartimento di Matematica e Applicazioni “R. Caccioppoli", Universitá degli Studi di Napoli “Federico II”, Italy. Département de Mathématique, E.P.F.L., Lausanne, Suisse; [email protected].; [email protected].
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Abstract

A homogenization problem related to the micromagnetic energy functional is studied. In particular, the existence of the integral representation for the homogenized limit of a family of energies $$ \mathcal{E}_{\varepsilon}(m)=\int_{\Omega} \phi\left(x,\frac{x}{\varepsilon},m(x)\right)\,{\rm d}x-\int_{\Omega}h_e(x)\cdot m(x)\,{\rm d}x+\frac{1}{2}\int_{\mathbb R^3}|\nabla u(x)|^2\,{\rm d}x$$ of a large ferromagnetic body is obtained.

Keywords

MicromagneticshomogenizationΓ-convergence.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 2 , April 2004 , pp. 295 - 314
Copyright
© EDP Sciences, SMAI, 2004

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