Homogenization of micromagnetics large bodies
ESAIM: Control, Optimisation and Calculus of Variations, Volume 10 (2004) no. 2, pp. 295-314.

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

 $\phantom{\rule{-17.07164pt}{0ex}}{ℰ}_{\epsilon }\left(m\right)={\int }_{\Omega }\phi \left(x,\frac{x}{\epsilon },m\left(x\right)\right)\phantom{\rule{0.166667em}{0ex}}\mathrm{d}x-{\int }_{\Omega }{h}_{e}\left(x\right)·m\left(x\right)\phantom{\rule{0.166667em}{0ex}}\mathrm{d}x+\frac{1}{2}{\int }_{{ℝ}^{3}}{|\nabla u\left(x\right)|}^{2}\phantom{\rule{0.166667em}{0ex}}\mathrm{d}x$
of a large ferromagnetic body is obtained.

DOI: 10.1051/cocv:2004008
Classification: 35B27,  74Q99,  82D40
Keywords: micromagnetics, homogenization, $\Gamma$-convergence
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author = {Pisante, Giovanni},
title = {Homogenization of micromagnetics large bodies},
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pages = {295--314},
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Pisante, Giovanni. Homogenization of micromagnetics large bodies. ESAIM: Control, Optimisation and Calculus of Variations, Volume 10 (2004) no. 2, pp. 295-314. doi : 10.1051/cocv:2004008. http://www.numdam.org/articles/10.1051/cocv:2004008/

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