HOMOGENIZATION OF REACTION-DIFFUSION EQUATIONS IN FRACTURED POROUS MEDIA

被引:0
|
作者
Douanla, Hermann [1 ]
Woukeng, Jean Louis [2 ]
机构
[1] Univ Yaounde I, Dept Math, Yaounde, Cameroon
[2] Univ Dschang, Dept Math & Comp Sci, Dschang, Cameroon
关键词
Fractured porous medium; homogenization; multi-scale convergence; reaction-diffusion equation with large reaction term; SIGMA-CONVERGENCE; PARABOLIC EQUATION; PERFORATED DOMAIN;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
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页数:23
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