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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 291–307 (Mi semr35)  
This article is cited in 7 scientific papers (total in 7 papers)

Research papers

Symmetries and solutions to equations of two-dimensional motions of polytropic gas

A. S. Pavlenko

M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (929 kB) Citations (7)
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Abstract: The optimal system of subalgebras for the $9$-dimensional Lie algebra was constructed. This system classifies invariant submodels of equation governing the motion of polytropic gas with polytrope-exponent $\gamma=2$. Invariant submodels of rank equal to 0 were found and their physical properties were described.
Received September 27, 2005, published December 22, 2005
Bibliographic databases:
Document Type: Article
UDC: 533+517.958
MSC: 34A09, 76N15
Language: Russian
Citation: A. S. Pavlenko, “Symmetries and solutions to equations of two-dimensional motions of polytropic gas”, Sib. Èlektron. Mat. Izv., 2 (2005), 291–307
Citation in format AMSBIB
\Bibitem{Pav05}
\by A.~S.~Pavlenko
\paper Symmetries and solutions to equations of two-dimensional motions of polytropic gas
\jour Sib. \`Elektron. Mat. Izv.
\yr 2005
\vol 2
\pages 291--307
\mathnet{http://mi.mathnet.ru/semr35}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2206191}
\zmath{https://zbmath.org/?q=an:1150.76464}
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    • This publication is cited in the following 7 articles:
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