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Homogenization of parabolic problems with dynamical boundary conditions of reactive‐diffusive type in perforated media

Homogenization of parabolic problems with dynamical boundary conditions of reactive‐diffusive type in perforated media

Abstract This paper deals with the homogenization of the reaction‐diffusion equations in a domain containing periodically distributed holes of size ε, with a dynamical boundary condition of reactive‐diffusive type, i.e., we consider the following nonlinear boundary condition on the surface of the holes where denotes the Laplace–Beltrami operator on the …