Reiterated homogenization of the vector potential formulation of a magnetostatic problem in anisotropic composite media |
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Authors: | Hélia Serrano |
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Institution: | aDepartamento de Matemáticas, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain |
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Abstract: | We present an explicit characterization of the effective coefficients of a family of boundary value problems with multiscale periodic oscillatory coefficients, which correspond to the vector potential formulation of a magnetostatic problem in anisotropic composite media with periodic microstructures. Moreover, we study the Γ-convergence of sequences of multiscale periodic integral functionals depending on the curl of divergence-free fields applying the properties of multiscale Young measures associated with sequences of divergence-free fields. |
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Keywords: | MSC: 35B27 49J45 78M30 78M40 |
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