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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 2, Pages 40–46 (Mi pmtf2356)  
Hyperbolicity of steady-state equations of gas shear flows in a thin layer

A. K. Khe

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (220 kB)
Abstract: The steady-state three-dimensional motion of an ideal gas in a thin layer of variable height is considered. In the long-wave approximation, the equations of gas dynamics reduce to a system of integrodifferential equations. The generalized characteristics and hyperbolicity conditions of the obtained system are found.
Keywords: steady-state gas dynamics, integrodifferential equations, generalized characteristics.
Received: 04.06.2003
Accepted: 16.10.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 2, Pages 181–186
DOI: https://doi.org/10.1023/B:JAMT.0000017580.88786.b0
Bibliographic databases:
Document Type: Article
UDC: 533.6.011 + 517.948.34
Language: Russian
Citation: A. K. Khe, “Hyperbolicity of steady-state equations of gas shear flows in a thin layer”, Prikl. Mekh. Tekh. Fiz., 45:2 (2004), 40–46; J. Appl. Mech. Tech. Phys., 45:2 (2004), 181–186
Citation in format AMSBIB
\Bibitem{Khe04}
\by A.~K.~Khe
\paper Hyperbolicity of steady-state equations of gas shear flows in a thin layer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 2
\pages 40--46
\mathnet{http://mi.mathnet.ru/pmtf2356}
\elib{https://elibrary.ru/item.asp?id=17249154}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 2
\pages 181--186
\crossref{https://doi.org/10.1023/B:JAMT.0000017580.88786.b0}
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