Reaction-Diffusion Equation on Thin Porous Media

被引：3
|
作者：
Anguiano, Maria [1 ]
机构：
[1] Univ Seville, Dept Anal Matemat, Fac Matemat, Seville 41012, Spain
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 05期
关键词：
Homogenization; Energy method; Dynamical boundary-value problems; Porous media; Thin films;
D O I：
10.1007/s40840-021-01103-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a reaction-diffusion equation on a 3D thin porous media of thickness e which is perforated by periodically distributed cylinders of size epsilon. On the boundary of the cylinders, we prescribe a dynamical boundary condition of pure-reactive type. As epsilon -> 0, in the 2D limit the resulting reaction-diffusion equation has a source term coming from the dynamical-type boundary conditions imposed on boundaries of the original 3D domain.
引用
收藏
页码：3089 / 3110
页数：22
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