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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 6, Pages 951–955 (Mi zvmmf3255)  

This article is cited in 1 scientific paper (total in 2 paper)

Scientific communications

Viscous liquid flows that are independent of the Reynolds number

Yu. D. Shmyglevskii

Moscow
Full-text PDF (476 kB) Citations (2)
Abstract: All solutions of the Navier–Stokes equations for stationary plane viscous fluid flow that are independent of the Reynolds number are investigated. All solutions with variable vorticity are given explicitly. Constant vorticity solutions are known to include an arbitrary harmonic function. Examples of analytic solutions of the latter type which satisfy adhesion conditions on a quadratic parabola and an ellipse are given.
Received: 24.11.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 3, Pages 220–223
DOI: https://doi.org/10.1016/0041-5553(90)90213-C
Bibliographic databases:
Document Type: Article
UDC: 517.958:532.5
MSC: 76D99
Language: Russian
Citation: Yu. D. Shmyglevskii, “Viscous liquid flows that are independent of the Reynolds number”, Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990), 951–955; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 220–223
Citation in format AMSBIB
\Bibitem{Shm90}
\by Yu.~D.~Shmyglevskii
\paper Viscous liquid flows that are independent of the Reynolds number
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 6
\pages 951--955
\mathnet{http://mi.mathnet.ru/zvmmf3255}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1072127}
\zmath{https://zbmath.org/?q=an:0850.76190}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 3
\pages 220--223
\crossref{https://doi.org/10.1016/0041-5553(90)90213-C}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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