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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 2, Pages 24–33 (Mi pmtf3051)  
This article is cited in 35 scientific papers (total in 35 papers)

One class of partially invariant solutions of the Navier–Stokes equations

S. V. Meleshkoa, V. V. Pukhnachevb

a Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk
b Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk
Full-text PDF (815 kB) Citations (35)
Abstract: A family of partially invariant solutions of the Navier–Stokes equations of rank 2 and defect 2 is considered. These solutions describe the three-dimensional unsteady motions of a viscous incompressible fluid in which the vertical velocity component and the pressure are independent of the horizontal coordinates. In particular, they can be interpreted as flows in a horizontal layer, one boundary of which is the free surface.
Received: 25.06.1998
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 2, Pages 208–216
DOI: https://doi.org/10.1007/BF02468516
Bibliographic databases:
Document Type: Article
UDC: 532.516
Language: Russian
Citation: S. V. Meleshko, V. V. Pukhnachev, “One class of partially invariant solutions of the Navier–Stokes equations”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 24–33; J. Appl. Mech. Tech. Phys., 40:2 (1999), 208–216
Citation in format AMSBIB
\Bibitem{MelPuk99}
\by S.~V.~Meleshko, V.~V.~Pukhnachev
\paper One class of partially invariant solutions of the Navier--Stokes equations
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 2
\pages 24--33
\mathnet{http://mi.mathnet.ru/pmtf3051}
\elib{https://elibrary.ru/item.asp?id=28814906}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 2
\pages 208--216
\crossref{https://doi.org/10.1007/BF02468516}
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    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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