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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 1145–1158
DOI: https://doi.org/10.17377/smzh.2018.59.515 (Mi smj3035) 		 
Homogenization of the equations of filtration of a viscous fluid in two porous media

A. M. Meirmanovab, S. A. Gritsenkoab

a Belgorod State University, Belgorod, Russia
b National Research University Moscow Power Engineering Institute, Moscow, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.515
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.
Keywords: Lamé equations, Stokes equations, homogenization of periodic structures, two-scale convergence.
Received: 23.08.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 909–921
DOI: https://doi.org/10.1134/S0037446618050154
Bibliographic databases:
Document Type: Article
UDC: 517.958:531.33
MSC: 35R30
Language: Russian
Citation: A. M. Meirmanov, S. A. Gritsenko, “Homogenization of the equations of filtration of a viscous fluid in two porous media”, Sibirsk. Mat. Zh., 59:5 (2018), 1145–1158; Siberian Math. J., 59:5 (2018), 909–921
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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