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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Опубліковано в: :Журнал математической физики, анализа, геометрии
Дата:2007
Автор: Berezhnyi, M.A.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/106442
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-106442
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles
spellingShingle The Asymptotic Behavior of Viscous Incompressible Fluid Small Oscillations with Solid Interacting Particles
Berezhnyi, M.A.
title_short 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_sort asymptotic behavior of viscous incompressible fluid small oscillations with solid interacting particles
author Berezhnyi, M.A.
author_facet Berezhnyi, M.A.
publishDate 2007
language English
container_title Журнал математической физики, анализа, геометрии
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
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.
issn 1812-9471
url https://nasplib.isofts.kiev.ua/handle/123456789/106442
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.
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