The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles
The motion of viscous incompressible fluid with a large number of small solid interacting particles is considered. The asymptotic behavior of small oscillations of the system is studied, when the radii of particles, distances between the nearest particles and their interaction power are decreased in...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106442 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles / M.A. Berezhnyi // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 135-156. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862707264871202816 |
|---|---|
| author | Berezhnyi, M.A. |
| author_facet | Berezhnyi, M.A. |
| citation_txt | The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles / M.A. Berezhnyi // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 135-156. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The motion of viscous incompressible fluid with a large number of small solid interacting particles is considered. The asymptotic behavior of small oscillations of the system is studied, when the radii of particles, distances between the nearest particles and their interaction power are decreased in the prescribed way. The equations describing the homogenized model of the system are derived.
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| first_indexed | 2025-12-07T17:04:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106442 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T17:04:19Z |
| publishDate | 2007 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Berezhnyi, M.A. 2016-09-28T18:58:42Z 2016-09-28T18:58:42Z 2007 The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles / M.A. Berezhnyi // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 135-156. — Бібліогр.: 5 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106442 The motion of viscous incompressible fluid with a large number of small solid interacting particles is considered. The asymptotic behavior of small oscillations of the system is studied, when the radii of particles, distances between the nearest particles and their interaction power are decreased in the prescribed way. The equations describing the homogenized model of the system are derived. The Author thanks Prof. E. Khruslov for the statement of the problem and for the attention he paid to the paper. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles Article published earlier |
| spellingShingle | The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles Berezhnyi, M.A. |
| title | The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles |
| title_full | The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles |
| title_fullStr | The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles |
| title_full_unstemmed | The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles |
| title_short | The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles |
| title_sort | asymptotic behavior of viscous incompressible fluid small oscillations with solid interacting particles |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106442 |
| work_keys_str_mv | AT berezhnyima theasymptoticbehaviorofviscousincompressiblefluidsmalloscillationswithsolidinteractingparticles AT berezhnyima asymptoticbehaviorofviscousincompressiblefluidsmalloscillationswithsolidinteractingparticles |