Two-scale Convergence on Periodic Surfaces and Applications
نویسندگان
چکیده
Abstract This paper is concerned with the homogenization of model problems in periodic porous media when important phenomena occur on the boundaries of the pores. To this end, we generalize the notion of two-scale convergence for sequences of functions which are defined on periodic surfaces. We apply our results to two model problems : the first one is a diffusion equation in a porous medium with a Fourier boundary condition, the second one is a coupled system of diffusion equations inside and on the boundaries of the pores of a porous medium.
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