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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 1, Pages 57–67 (Mi vngu130)  
Transonic gas flow with nonplanar shock waves

M. Yu. Kazakova

Novosibirsk State University, Novosibirsk, Russia
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Abstract: One of the models to describe transonic gas flows using non-linear Karman–Guderley equation. This equation is used to simulation of gas flows in the vicinity of the sonic surface. The main goal of present study is to analyze the invariant solutions of the Karman–Guderley equation to describe three-dimensional gas flows with shock waves on nonplanar surfaces. To construct a solution has been investigated global behavior of integral curves. The study periods of solutions showed that there are possible cases of two nested wave on helical surface.
Keywords: transonic flow, invariant solution, Rankine–Hugoniot conditions, shock wave.
Received: 12.03.2012
English version:
Journal of Mathematical Sciences, 2014, Volume 203, Issue 4, Pages 499–508
DOI: https://doi.org/10.1007/s10958-014-2153-z
Document Type: Article
UDC: 533
Language: Russian
Citation: M. Yu. Kazakova, “Transonic gas flow with nonplanar shock waves”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:1 (2013), 57–67; J. Math. Sci., 203:4 (2014), 499–508
Citation in format AMSBIB
\Bibitem{Kaz13}
\by M.~Yu.~Kazakova
\paper Transonic gas flow with nonplanar shock waves
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2013
\vol 13
\issue 1
\pages 57--67
\mathnet{http://mi.mathnet.ru/vngu130}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 4
\pages 499--508
\crossref{https://doi.org/10.1007/s10958-014-2153-z}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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