no. 2
Homogenization of micromagnetics large bodies
ESAIM: Control, Optimisation and Calculus of Variations, Tome 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

ℰ ε (m)=∫ Ω φx,x ε,m(x)dx-∫ Ω h e (x)·m(x)dx+1 2∫ ℝ 3 |∇u(x)| 2 dx
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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     title = {Homogenization of micromagnetics large bodies},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {295--314},
     year = {2004},
     publisher = {EDP Sciences},
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     doi = {10.1051/cocv:2004008},
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     url = {https://www.numdam.org/articles/10.1051/cocv:2004008/}
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Pisante, Giovanni. Homogenization of micromagnetics large bodies. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 2, pp. 295-314. doi: 10.1051/cocv:2004008

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