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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 5, Pages 890–898 (Mi zvmmf657)  
This article is cited in 1 scientific paper (total in 1 paper)

Parametric instability of a viscous fluid in a vessel with a permeable bottom

A. V. Kravtsova, S. Ya. Sekerzh-Zen'kovichb

a Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
b A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
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Abstract: A linear problem of parametric oscillations of a low-viscosity homogeneous fluid in an open vessel partially filled with a porous medium is considered. An asymptotic solution is constructed on the basis of the simultaneous application of the boundary function method and averaging for subharmonic and harmonic resonances. Approximation formulas are derived for the boundaries of instability zones.
Key words: viscous fluid, parametric resonance, porous medium, singular perturbations.
Received: 20.12.2004
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.958:531.32
Language: Russian
Citation: A. V. Kravtsov, S. Ya. Sekerzh-Zen'kovich, “Parametric instability of a viscous fluid in a vessel with a permeable bottom”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005), 890–898; Comput. Math. Math. Phys., 45:5 (2005), 858–866
Citation in format AMSBIB
\Bibitem{KraSek05}
\by A.~V.~Kravtsov, S.~Ya.~Sekerzh-Zen'kovich
\paper Parametric instability of a viscous fluid in a~vessel with a~permeable bottom
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 5
\pages 890--898
\mathnet{http://mi.mathnet.ru/zvmmf657}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2190080}
\zmath{https://zbmath.org/?q=an:1091.76023}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 5
\pages 858--866
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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