Homogenization of reaction-diffusion equations in fractured porous media

2015/06/27 by Hermann Douanla, Douanla, Hermann, Jean Louis Woukeng +1
Computer Science · Engineering · #35B27 #76M50 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1506.08302

openalex publication_date 2015/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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