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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 6, Pages 34–47 (Mi pmtf2204)  
This article is cited in 1 scientific paper (total in 1 paper)

Interaction of shear flows of an ideal incompressible fluid in a channel

A. A. Chesnokov

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (305 kB) Citations (1)
Abstract: The problem of the decay of an arbitrary discontinuity for the equations describing plane-parallel shear flows of an ideal fluid in a narrow channel is considered. The class of particular solutions corresponding to fluid flows with piecewise constant vorticity is studied. In this class, the existence of self-similar solutions describing all possible unsteady wave configurations resulting from the nonlinear interaction of the specified shear flows is established.
Keywords: shear flows, long waves, decay of an arbitrary discontinuity, hyperbolicity.
Received: 06.12.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 6, Pages 800–811
DOI: https://doi.org/10.1007/s10808-006-0118-9
Bibliographic databases:
Document Type: Article
UDC: 532.591+517.948
Language: Russian
Citation: A. A. Chesnokov, “Interaction of shear flows of an ideal incompressible fluid in a channel”, Prikl. Mekh. Tekh. Fiz., 47:6 (2006), 34–47; J. Appl. Mech. Tech. Phys., 47:6 (2006), 800–811
Citation in format AMSBIB
\Bibitem{Che06}
\by A.~A.~Chesnokov
\paper Interaction of shear flows of an ideal incompressible fluid in a channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 6
\pages 34--47
\mathnet{http://mi.mathnet.ru/pmtf2204}
\elib{https://elibrary.ru/item.asp?id=16515936}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 6
\pages 800--811
\crossref{https://doi.org/10.1007/s10808-006-0118-9}
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  • https://www.mathnet.ru/eng/pmtf/v47/i6/p34
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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