Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift
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...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/140569 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862752496853712896 |
|---|---|
| author | Goncharenko, M. Khilkova, L. |
| author_facet | Goncharenko, M. Khilkova, L. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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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| first_indexed | 2025-12-07T21:16:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140569 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T21:16:55Z |
| publishDate | 2017 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Goncharenko, M. Khilkova, L. 2018-07-10T18:31:02Z 2018-07-10T18:31:02Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/140569 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift Article published earlier |
| spellingShingle | Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift Goncharenko, M. Khilkova, L. |
| title | Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift |
| title_full | Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift |
| title_fullStr | Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift |
| title_full_unstemmed | Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift |
| title_short | Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift |
| title_sort | homogenized model of non-stationary diffusion in porous media with the drift |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140569 |
| work_keys_str_mv | AT goncharenkom homogenizedmodelofnonstationarydiffusioninporousmediawiththedrift AT khilkoval homogenizedmodelofnonstationarydiffusioninporousmediawiththedrift |