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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2007, Volume 3, Number 2, Pages 135–156 (Mi jmag55)  
This article is cited in 6 scientific papers (total in 6 papers)

The asymptotic behavior of viscous incompressible fluid small oscillations with solid interacting particles

M. A. Berezhnyi

Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
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Abstract: 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.
Key words and phrases: homogenization, viscous incompressible fluid, interacting particles.
Received: 04.01.2006
Bibliographic databases:
Document Type: Article
MSC: 35B27, 35Q30, 74Q10, 76M30, 76M50
Language: English
Citation: M. A. Berezhnyi, “The asymptotic behavior of viscous incompressible fluid small oscillations with solid interacting particles”, Zh. Mat. Fiz. Anal. Geom., 3:2 (2007), 135–156
Citation in format AMSBIB
\Bibitem{Ber07}
\by M.~A.~Berezhnyi
\paper The asymptotic behavior of viscous incompressible fluid small oscillations with solid interacting particles
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2007
\vol 3
\issue 2
\pages 135--156
\mathnet{http://mi.mathnet.ru/jmag55}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338184}
\zmath{https://zbmath.org/?q=an:05568001}
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