Homogenization of nonstationary flow of a two-constituant mixture through a porous medium

Article type: Research Article

Authors: Aganović, I. | Mikelić, A.

Affiliations: Department of Mathematics, University of Zagreb, Bijenička 30, 41001 Zagreb, Croatia | Ruder Bošković Institute, Department of Physics, P.O.B. 1016, 41001 Zagreb, Croatia

Abstract: The homogenization of nonstationary flow of a general two-constituant mixture in a domain with a grained boundary (porous medium) is considered. A convergence theorem for the homogenization process, together with a uniqueness theorem for a homogenized problem, is proved. The homogenized system turns out to be the widely used engineering model of miscible flow through a porous medium.

DOI: 10.3233/ASY-1992-6204

Journal: Asymptotic Analysis, vol. 6, no. 2, pp. 173-189, 1992