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

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2017
• Main Authors: Goncharenko, M., Khilkova, L.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140569
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 asy...