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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 11, Pages 1958–1968 (Mi zvmmf227)  
On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom

A. V. Kravtsov

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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Abstract: A linear problem of parametric oscillations of a low-viscous two-layer fluid in a closed vessel partially filled with a porous medium is studied. An asymptotic solution is constructed on the basis of combined application of boundary functions and averaging methods. Approximate formulas for boundaries of instability domains in the case of subharmonic and harmonic resonances are derived.
Key words: viscous fluid, parametric resonance, permeable material, singular perturbations.
Received: 31.05.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 11, Pages 1875–1884
DOI: https://doi.org/10.1134/S0965542507110127
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Kravtsov, “On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1958–1968; Comput. Math. Math. Phys., 47:11 (2007), 1875–1884
Citation in format AMSBIB
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\by A.~V.~Kravtsov
\paper On parametric instability of viscous two-layer fluid in a~vessel with a~permeable bottom
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 11
\pages 1958--1968
\mathnet{http://mi.mathnet.ru/zvmmf227}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2405037}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 11
\pages 1875--1884
\crossref{https://doi.org/10.1134/S0965542507110127}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36448930937}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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