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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 4, Pages 3–16 (Mi pmtf2277)  
This article is cited in 4 scientific papers (total in 4 papers)

Projective submodel of the Ovsyannikov vortex

A. S. Pavlenko

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (758 kB) Citations (4)
Abstract: A submodel of the Ovsyannikov vortex with projective symmetry is studied. Integration of the factor system of the submodel reduces to solving a first-order differential equation which is not solved with respect to the derivative. The properties of the solutions of this equation are studied. It is shown that the submodel describes gas ow with a nonstationary source and a nonstationary sink. The problem of the motion of a gas volume between pistons of cylindrical shapes is studied, and its solution with an invariant shock wave is obtained.
Keywords: Ovsyannikov vortex, partially invariant solutions of the equations of gas dynamics, shock waves.
Received: 27.09.2004
Accepted: 19.11.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2005, Volume 46, Issue 4, Pages 459–470
DOI: https://doi.org/10.1007/s10808-005-0097-2
Bibliographic databases:
Document Type: Article
UDC: 533; 517.958
Language: Russian
Citation: A. S. Pavlenko, “Projective submodel of the Ovsyannikov vortex”, Prikl. Mekh. Tekh. Fiz., 46:4 (2005), 3–16; J. Appl. Mech. Tech. Phys., 46:4 (2005), 459–470
Citation in format AMSBIB
\Bibitem{Pav05}
\by A.~S.~Pavlenko
\paper Projective submodel of the Ovsyannikov vortex
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 4
\pages 3--16
\mathnet{http://mi.mathnet.ru/pmtf2277}
\elib{https://elibrary.ru/item.asp?id=15175941}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 4
\pages 459--470
\crossref{https://doi.org/10.1007/s10808-005-0097-2}
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  • https://www.mathnet.ru/eng/pmtf/v46/i4/p3
    • This publication is cited in the following 4 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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