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arXiv · 1506.08302

Homogenization of reaction-diffusion equations in fractured porous media

Hermann Douanla·Jean Louis Woukeng
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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.

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Hermann Douanla, Jean Louis Woukeng. 2015-06-27. Homogenization of reaction-diffusion equations in fractured porous media. https://arxiv.org/abs/1506.08302

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