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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2007, Volume 7, Issue 1, Pages 54–63
DOI: https://doi.org/10.18500/1816-9791-2007-7-1-54-63 (Mi isu145) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Exact solutions of the transonic equations of gas dynamics

E. O. Kuznetsova, I. A. Chernov

Saratov State University named after N. G. Chernyshevsky
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DOI: https://doi.org/10.18500/1816-9791-2007-7-1-54-63
Abstract: The review exact (described by algebraic functions) solutions of a transonic set of Karman–Falkovitch equations is given. Self-similar solutions and two classes of the polynomial-parametrical solutions associated with self-similar at indexes $n=2$ and $n=3$ are considered. Connection with local exposition of singularities of transonic flows is specified, in particular in Laval nozzles.
Document Type: Article
UDC: 533.6.011
Language: Russian
Citation: E. O. Kuznetsova, I. A. Chernov, “Exact solutions of the transonic equations of gas dynamics”, Izv. Saratov Univ. Math. Mech. Inform., 7:1 (2007), 54–63
Citation in format AMSBIB
\Bibitem{KuzChe07}
\by E.~O.~Kuznetsova, I.~A.~Chernov
\paper Exact solutions of the transonic equations of gas dynamics
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2007
\vol 7
\issue 1
\pages 54--63
\mathnet{http://mi.mathnet.ru/isu145}
\crossref{https://doi.org/10.18500/1816-9791-2007-7-1-54-63}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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