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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 6, Pages 23–33 (Mi pmtf2203)  
This article is cited in 2 scientific papers (total in 2 papers)

Regular, partially invariant solutions of rank 1 and defect 1 of equations of plane motion of a viscous heat-conducting gas

V. V. Bublik

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (243 kB) Citations (2)
Abstract: A system of the Navier–Stokes equations of two-dimensional motion of a viscous heat-conducting perfect gas with a polytropic equation of state is considered. Regular, partially invariant solutions of rank 1 and defect 1 are studied. A sufficient condition of their reducibility to invariant solutions of rank 1 is proved. All solutions of this class with a linear dependence of the velocity-vector components on spatial coordinates are examined. New examples of solutions that are not reducible to invariant solutions are obtained.
Keywords: dynamics of a viscous heat-conducting gas, partially invariant solutions.
Received: 15.06.2005
Accepted: 12.12.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 6, Pages 790–799
DOI: https://doi.org/10.1007/s10808-006-0117-x
Bibliographic databases:
Document Type: Article
UDC: 517.957:[532.516.5+536.23]
Language: Russian
Citation: V. V. Bublik, “Regular, partially invariant solutions of rank 1 and defect 1 of equations of plane motion of a viscous heat-conducting gas”, Prikl. Mekh. Tekh. Fiz., 47:6 (2006), 23–33; J. Appl. Mech. Tech. Phys., 47:6 (2006), 790–799
Citation in format AMSBIB
\Bibitem{Bub06}
\by V.~V.~Bublik
\paper Regular, partially invariant solutions of rank 1 and defect 1 of equations of plane motion of a viscous heat-conducting gas
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 6
\pages 23--33
\mathnet{http://mi.mathnet.ru/pmtf2203}
\elib{https://elibrary.ru/item.asp?id=16515935}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 6
\pages 790--799
\crossref{https://doi.org/10.1007/s10808-006-0117-x}
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  • https://www.mathnet.ru/eng/pmtf/v47/i6/p23
    • This publication is cited in the following 2 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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