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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 553–595 (Mi semr172)  
This article is cited in 3 scientific papers (total in 3 papers)

Research papers

Group-theoretical solutions to gas dynamic equations generated by threedimensional Lie subalgebras

A. A. Cherevko

M. A. Lavrent'ev Institute of Hydrodynamics
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Abstract: We study group-theoretical solutions to the dynamic equations of polytropic gas. We give a complete list of invariant and partially invariant solutions generated by $3$-dimensional subalgebras of symmetry Lie algebra $L_{13}$. There are $146$ different invariant solutions, $61$ partially invariant solutions, and $12$ types of barochronic solutions in this list. This result is applicable in gas dynamics, aerodynamics, and physics of atmosphere.
Received November 26, 2007, published December 25, 2007
Bibliographic databases:
Document Type: Article
UDC: 533, 517.958
MSC: 35L60, 58J70, 76N15
Language: Russian
Citation: A. A. Cherevko, “Group-theoretical solutions to gas dynamic equations generated by threedimensional Lie subalgebras”, Sib. Èlektron. Mat. Izv., 4 (2007), 553–595
Citation in format AMSBIB
\Bibitem{Che07}
\by A.~A.~Cherevko
\paper Group-theoretical solutions to gas dynamic equations generated by threedimensional Lie subalgebras
\jour Sib. \`Elektron. Mat. Izv.
\yr 2007
\vol 4
\pages 553--595
\mathnet{http://mi.mathnet.ru/semr172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2465441}
\zmath{https://zbmath.org/?q=an:1132.76307}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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