Homogenization of reaction-diffusion equations in fractured porous media

• Main Authors: Hermann Douanla, Jean Louis Woukeng
• Format: Article
• Language: English
• Published: Texas State University 2015-09-01
• Series: Electronic Journal of Differential Equations
• Subjects: Fractured porous medium; homogenization; multi-scale convergence; reaction-diffusion equation with large reaction term
• Online Access: http://ejde.math.txstate.edu/Volumes/2015/253/abstr.html

The article studies 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.