Homogenization of the Equations of Filtration of a Viscous Fluid in Two Porous Media

Сибирский математический журнал

A. M. Meirmanov¹  S. A. Gritsenko² 

[1] Belgorod State University;National Research University, Moscow Power Engineering Institute

关键词: Lamé equations;    Stokes equations;    homogenization of periodic structures;    two-scale convergence;   

DOI  :  10.1134/S0037446618050154

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

A homogenized model of filtration of a viscous fluid in two domains with common boundary is deduced on the basis of the method of two-scale convergence. The domains represent an elastic medium with perforated pores. The fluid, filling the pores, is the same in both domains, and the properties of the solid skeleton are distinct.

【 授权许可】

CC BY