Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift
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| Creator |
Goncharenko, M.
Khilkova, L. |
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| Description |
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.
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| Date |
2018-07-10T18:31:02Z
2018-07-10T18:31:02Z 2017 |
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| Type |
Article
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| Identifier |
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.
1812-9471 DOI: doi.org/10.15407/mag13.02.154 Mathematics Subject Classification 2000: 35Q74 http://dspace.nbuv.gov.ua/handle/123456789/140569 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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