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.
机构:
McGill University, Department of Mathematics, Montreal,QC,H3A 0B9, CanadaMcGill University, Department of Mathematics, Montreal,QC,H3A 0B9, Canada
Lin, Jessica
Zlatoš, Andrej
论文数: 0引用数: 0
h-index: 0
机构:
Department of Mathematics, University of California San Diego, San Diego,CA,92130, United StatesMcGill University, Department of Mathematics, Montreal,QC,H3A 0B9, Canada
机构:
Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Peoples R China
Shi, Yangyang
Gao, Hongjun
论文数: 0引用数: 0
h-index: 0
机构:
Southeast Univ, Sch Math, Nanjing 211189, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Peoples R China
机构:
Lomonosov Moscow State Univ, Kazakhstan Branch, Nur Sultan 010010, Kazakhstan
Inst Math & Math Modeling, Alma Ata 050010, KazakhstanLomonosov Moscow State Univ, Kazakhstan Branch, Nur Sultan 010010, Kazakhstan
Bekmaganbetov, K. A.
Chepyzhov, V. V.
论文数: 0引用数: 0
h-index: 0
机构:
Russian Acad Sci, Kharkevich Inst, Inst Informat Transmiss Problems, Moscow 127051, Russia
Natl Res Univ Higher Sch Econ, Moscow 101000, RussiaLomonosov Moscow State Univ, Kazakhstan Branch, Nur Sultan 010010, Kazakhstan
Chepyzhov, V. V.
Chechkin, G. A.
论文数: 0引用数: 0
h-index: 0
机构:
Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
Lomonosov Moscow State Univ, Fac Mech & Math, Moscow 119991, Russia
Russian Acad Sci, Ufa Fed Res Ctr, Comp Ctr, Inst Math, Ufa 450000, Bashkortostan, RussiaLomonosov Moscow State Univ, Kazakhstan Branch, Nur Sultan 010010, Kazakhstan