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Matematicheskie Zametki, 2016, Volume 99, Issue 5, paper published in the English version journal (Mi mzm11227)  
This article is cited in 8 scientific papers (total in 8 papers)

Papers published in the English version of the journal

Existence of the Stationary Solution of a Rayleigh-Type Equation

D.I. Borisovabc, R. Gaydukovd

a Akhmulla Bashkir State Pedagogical University, Ufa, Russia
b University of Hradec Králové, Hradec Králové, Czech Republic
c Institute of Mathematics with Computer Center, Ufa Scientific Center, Russian Academy of Sciences, Ufa, Russia
d National Research University Higher School of Economics, Moscow, Russia
Citations (8)
Abstract: A fluid flow along a semi-infinite plate with small periodic irregularities on the surface is considered for large Reynolds numbers. The boundary layer has a double-deck structure: a thin boundary layer (“lower deck”) and a classical Prandtl boundary layer (“upper deck”). The aim of this paper is to prove the existence and uniqueness of the stationary solution of a Rayleigh-type equation, which describes oscillations of the vertical velocity component in the classical boundary layer.
Keywords: double-deck structure, boundary-layer theory, fluid mechanics, Navier–Stokes equations, Rayleigh-type equation, eigenvalue problem.
Funding agency Grant number
Russian Foundation for Basic Research 15-31-20037-mol\_ved\_a
The work of D. I. Borisov was supported by the Russian Foundation for Basic Research under grant 15-31-20037-mol_ved_a and that of R. K. Gaydukov by the Basic Research Program of the National Research University Higher School of Economics.
Received: 23.03.2016
English version:
Mathematical Notes, 2016, Volume 99, Issue 5, Pages 636–642
DOI: https://doi.org/10.1134/S0001434616050023
Bibliographic databases:
Document Type: Article
Language: English
Citation: D.I. Borisov, R. Gaydukov, “Existence of the Stationary Solution of a Rayleigh-Type Equation”, Math. Notes, 99:5 (2016), 636–642
Citation in format AMSBIB
\Bibitem{BorGay16}
\by D.I.~Borisov, R.~Gaydukov
\paper Existence of the Stationary Solution of a Rayleigh-Type Equation
\jour Math. Notes
\yr 2016
\vol 99
\issue 5
\pages 636--642
\mathnet{http://mi.mathnet.ru/mzm11227}
\crossref{https://doi.org/10.1134/S0001434616050023}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3519301}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382176900002}
\elib{https://elibrary.ru/item.asp?id=26840514}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84977109967}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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