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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 1(22), Pages 179–185
DOI: https://doi.org/10.14498/vsgtu869 (Mi vsgtu869) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mechanics

On stability of solutions of equations of interaction between elastic walls of channels and affluent liquid

A. V. Ankilov, P. A. Vel'misov

Dept. of Higher Mathematics, Ulyanovsk State Technical University, Ulyanovsk
Full-text PDF (482 kB) Citations (9)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu869
Abstract: In this article the dynamical stability of elastic walls of plane channels under flowing of the perfect liquid is investigated on the basis of mathematical models. Either the law of pressure change or the potential of liquid velocity or the longitudinal component of liquid velocity are applied on the input and output from the channels. The sufficient conditions of stability are obtained. These conditions impose a constraint on the velocity of the liquid homogeneous stream, on the compressing (decompressing) force and other parameters of mechanical system.
Keywords: aerohydroelastisity, dynamical stability, channel, functional, differential equation, partial derivatives.
Original article submitted 20/XII/2010
revision submitted – 12/III/2011
Bibliographic databases:
Document Type: Article
UDC: 532.5
MSC: Primary 35Q74; Secondary 74F10
Language: Russian
Citation: A. V. Ankilov, P. A. Vel'misov, “On stability of solutions of equations of interaction between elastic walls of channels and affluent liquid”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 179–185
Citation in format AMSBIB
\Bibitem{AnkVel11}
\by A.~V.~Ankilov, P.~A.~Vel'misov
\paper On stability of solutions of equations of interaction between elastic walls of channels and affluent liquid
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 179--185
\mathnet{http://mi.mathnet.ru/vsgtu869}
\crossref{https://doi.org/10.14498/vsgtu869}
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  • https://www.mathnet.ru/eng/vsgtu/v122/p179
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:88
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