Homogenization of reaction-diffusion equations in fractured porous media
Analysis of PDEs
2015-06-30 v1
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.
Keywords
Cite
@article{arxiv.1506.08302,
title = {Homogenization of reaction-diffusion equations in fractured porous media},
author = {Hermann Douanla and Jean Louis Woukeng},
journal= {arXiv preprint arXiv:1506.08302},
year = {2015}
}
Comments
19 pages