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.
引用
收藏
页数:23
相关论文
共 50 条
  • [21] Homogenization of random attractors for reaction-diffusion systems
    Bekmaganbetov, Kuanysh A.
    Chechkin, Gregory A.
    Chepyzhov, Vladimir V.
    COMPTES RENDUS MECANIQUE, 2016, 344 (11-12): : 753 - 758
  • [22] Generalized reaction-diffusion equations
    Wei, GW
    CHEMICAL PHYSICS LETTERS, 1999, 303 (5-6) : 531 - 536
  • [23] Reaction-diffusion equations and learning
    Shah, J
    VARIATIONAL METHODS FOR DISCONTINUOUS STRUCTURES, 2002, 51 : 171 - 182
  • [24] Reaction-diffusion equations and learning
    Shah, J
    JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, 2002, 13 (1-2) : 82 - 93
  • [26] COUPLED REACTION-DIFFUSION EQUATIONS
    FREIDLIN, M
    ANNALS OF PROBABILITY, 1991, 19 (01): : 29 - 57
  • [27] Reaction-Diffusion Equations in Immunology
    Bocharov, G. A.
    Volpert, V. A.
    Tasevich, A. L.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (12) : 1967 - 1976
  • [28] Fractional reaction-diffusion equations
    Saxena, R. K.
    Mathai, A. M.
    Haubold, H. J.
    ASTROPHYSICS AND SPACE SCIENCE, 2006, 305 (03) : 289 - 296
  • [29] Fractional Reaction-Diffusion Equations
    R. K. Saxena
    A. M. Mathai
    H. J. Haubold
    Astrophysics and Space Science, 2006, 305 : 289 - 296
  • [30] ON THE SOLUTION OF REACTION-DIFFUSION EQUATIONS
    HILL, JM
    IMA JOURNAL OF APPLIED MATHEMATICS, 1981, 27 (02) : 177 - 194