Homogenization of the diffusion equation in domains with the fine-grained boundary with the nonlinear boundary Robin condition
AbstractIn this paper we consider the boundary-value problem for the stationary diffusion equation in perforated domains, which are additional of a large number non-overlapping small balls on the surface of which is given the nonlinear Robin condition. We study the asymptotic behavior of the solution of the problem. We derive homogenization equations describing the principal term of the asymptotic of the solutions.
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