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.
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Original Russian Text © 2018 Meirmanov A.M. and Gritsenko S.A.
Belgorod; Moscow. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 5, pp. 1145–1158, September–October, 2018; DOI: 10.17377/smzh.2018.59.515.
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Meirmanov, A.M., Gritsenko, S.A. Homogenization of the Equations of Filtration of a Viscous Fluid in Two Porous Media. Sib Math J 59, 909–921 (2018). https://doi.org/10.1134/S0037446618050154
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DOI: https://doi.org/10.1134/S0037446618050154