Concentration and homogenization in electrical conduction in\n heterogeneous media involving the Laplace-Beltrami operator

Résumé fourni par la source

We study a concentration and homogenization problem modelling electrical\nconduction in a composite material. The novelty of the problem is due to the\nspecific scaling of the physical quantities characterizing the dielectric\ncomponent of the composite. This leads to the appearance of a peculiar\ndisplacement current governed by a Laplace-Beltrami pseudo-parabolic equation.\nThis pseudo-parabolic character is present also in the homogenized equation,\nwhich is obtained by the unfolding technique.\n

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