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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 3, Pages 51–63 (Mi pmtf2498)  
This article is cited in 3 scientific papers (total in 3 papers)

Group stratification and exact solutions of the equation of transonic gas motions

S. V. Golovin

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (292 kB) Citations (3)
Abstract: Exact solutions of the Kármán–Guderley equation that describes spatial gas flows in the transonic approximation are considered. A group stratification of the equation with respect to the infinite-dimensional part of the admissible group is constructed. New invariant and partly invariant solutions are obtained. The possibility of existence of solutions continuous in the entire space is analyzed for invariant submodels with one independent variable. A solution of the Kármán–Guderley equation of the double-wave type is constructed.
Keywords: transonic flow, invariant solutions, double waves, group stratification.
Received: 25.11.2002
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 3, Pages 344–354
DOI: https://doi.org/10.1023/A:1023429106284
Bibliographic databases:
Document Type: Article
UDC: 533.06; 517.958
Language: Russian
Citation: S. V. Golovin, “Group stratification and exact solutions of the equation of transonic gas motions”, Prikl. Mekh. Tekh. Fiz., 44:3 (2003), 51–63; J. Appl. Mech. Tech. Phys., 44:3 (2003), 344–354
Citation in format AMSBIB
\Bibitem{Gol03}
\by S.~V.~Golovin
\paper Group stratification and exact solutions of the equation of transonic gas motions
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 3
\pages 51--63
\mathnet{http://mi.mathnet.ru/pmtf2498}
\elib{https://elibrary.ru/item.asp?id=17274790}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 3
\pages 344--354
\crossref{https://doi.org/10.1023/A:1023429106284}
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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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