Department of Mathematics
University of Yaounde 1
P.O. Box 812, Yaounde, Cameroon
email: hdouanla@gmail.com
Department of Mathematics and Computer Science
University of Dschang
P.O. Box 67, Dschang, Cameroon
email: jwoukeng@yahoo.fr
Hermann Douanla, Jean Louis Woukeng
Abstract:
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.
Submitted June 5, 2015. Published September 29, 2015.
Math Subject Classifications: 35B27, 76M50.
Key Words: Fractured porous medium; homogenization; multi-scale convergence;
reaction-diffusion equation with large reaction term.
Show me the PDF file (317 KB), TEX file, and other files for this article.
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Hermann Douanla Department of Mathematics University of Yaounde 1 P.O. Box 812, Yaounde, Cameroon email: hdouanla@gmail.com |
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Jean Louis Woukeng Department of Mathematics and Computer Science University of Dschang P.O. Box 67, Dschang, Cameroon email: jwoukeng@yahoo.fr |
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