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


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Abstract

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.

About the authors

A. M. Meirmanov

Belgorod State University

Author for correspondence.
Email: anvarbek@list.ru
Russian Federation, Belgorod

S. A. Gritsenko

National Research University, Moscow Power Engineering Institute

Email: anvarbek@list.ru
Russian Federation, Moscow


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