Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2017, Volume 13, Number 2, Pages 154–172
DOI: https://doi.org/10.15407/mag13.02.154 (Mi jmag667) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Homogenized model of non-stationary diffusion in porous media with the drift

M. Goncharenkoa, L. Khilkovab

a B.Verkin Institute for Low Temperature Physics and Engineering, of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv 61103, Ukraine
b Institute of Chemical Technology of Eastern Ukrainian National University, 31 Volodymyrska Str., Rubizhne 93009, Ukraine
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DOI: https://doi.org/10.15407/mag13.02.154
Abstract: We consider an initial boundary-value problem for a parabolic equation describing non-stationary diffusion in porous media with non-linear absorption on the boundary and the transfer of the diffusing substance by fluid. We prove the existence of the unique solution for this problem. We study the asymptotic behavior of a sequence of solutions when the scale of microstructure tends to zero and obtain the homogenized model of the diffusion process.
Key words and phrases: homogenization, non-stationary diffusion, non-linear boundary condition, homogenized model.
Received: 01.06.2016
Revised: 16.11.2016
Bibliographic databases:
Document Type: Article
MSC: 35Q74
Language: English
Citation: M. Goncharenko, L. Khilkova, “Homogenized model of non-stationary diffusion in porous media with the drift”, Zh. Mat. Fiz. Anal. Geom., 13:2 (2017), 154–172
Citation in format AMSBIB
\Bibitem{GonKhi17}
\by M.~Goncharenko, L.~Khilkova
\paper Homogenized model of non-stationary diffusion in porous media with the drift
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2017
\vol 13
\issue 2
\pages 154--172
\mathnet{http://mi.mathnet.ru/jmag667}
\crossref{https://doi.org/10.15407/mag13.02.154}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403877800003}
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