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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 5, Pages 38–45 (Mi pmtf2298)  
Three-dimensional analog of Prandtl–Meyer waves

A. P. Chupakhina, Zh. A. Shakhmetovab

a Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090
Full-text PDF (227 kB)
Abstract: This paper studies the regular partially invariant solution of the equations of gas dynamics which extends the Prandtl–Meyer solutions to the three-dimensional case. All singular manifolds of the third-order dynamic system that defines the solution are found, and its compactification is constructed.
Keywords: equations of gas dynamics, dynamic system, singular manifolds.
Received: 26.11.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2005, Volume 46, Issue 5, Pages 645–651
DOI: https://doi.org/10.1007/s10808-005-0118-1
Bibliographic databases:
Document Type: Article
UDC: 533; 517.958
Language: Russian
Citation: A. P. Chupakhin, Zh. A. Shakhmetova, “Three-dimensional analog of Prandtl–Meyer waves”, Prikl. Mekh. Tekh. Fiz., 46:5 (2005), 38–45; J. Appl. Mech. Tech. Phys., 46:5 (2005), 645–651
Citation in format AMSBIB
\Bibitem{ChuSha05}
\by A.~P.~Chupakhin, Zh.~A.~Shakhmetova
\paper Three-dimensional analog of Prandtl--Meyer waves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 5
\pages 38--45
\mathnet{http://mi.mathnet.ru/pmtf2298}
\elib{https://elibrary.ru/item.asp?id=15175962}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 5
\pages 645--651
\crossref{https://doi.org/10.1007/s10808-005-0118-1}
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