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Homogenization of reaction-diffusion equations in fractured porous media (1506.08302v1)
Published 27 Jun 2015 in math.AP
Abstract: The paper deals with the homogenization of reaction-diffusion equations with large reaction terms in a multi-scale porous medium. We assume that the fractures and pores are equidistributed and that the coefficients of the equations are periodic. Using the multi-scale convergence method, we derive a homogenization result whose limit problem is defined on a fixed domain and is of convection-diffusion-reaction type.