Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift

dc.contributor.author	Goncharenko, M.
dc.contributor.author	Khilkova, L.
dc.date.accessioned	2018-07-10T18:31:02Z
dc.date.available	2018-07-10T18:31:02Z
dc.date.issued	2017
dc.identifier.citation	Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift / M. Goncharenko, L. Khilkova // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 2. — С. 154-172. — Бібліогр.: 35 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.other	DOI: doi.org/10.15407/mag13.02.154
dc.identifier.other	Mathematics Subject Classification 2000: 35Q74
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/140569
dc.description.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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA