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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 6, Pages 3–15
DOI: https://doi.org/10.15372/PMTF20170601 (Mi pmtf634) 		 
Solution of the Ovsyannikov problem of two-dimensional isothermal motion of a polytropic gas

Yu. V. Shan'ko

Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
Full-text PDF (255 kB)
DOI: https://doi.org/10.15372/PMTF20170601
Abstract: The overdetermined system of partial differential equations describing the two-dimensional isothermal motion of a polytropic gas is studied. The system is reduced to passive form and fully integrated. The resulting solutions are treated as ideal incompressible fluid flow bounded by a free surface or a moving solid wall.
Keywords: isothermal gas flow, thermal motion of gas, free-boundary ideal flow, overdetermined systems, exact solutions.
Received: 03.10.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 6, Pages 957–967
DOI: https://doi.org/10.1134/S0021894417060013
Bibliographic databases:
Document Type: Article
UDC: 532.511+517.95
Language: Russian
Citation: Yu. V. Shan'ko, “Solution of the Ovsyannikov problem of two-dimensional isothermal motion of a polytropic gas”, Prikl. Mekh. Tekh. Fiz., 58:6 (2017), 3–15; J. Appl. Mech. Tech. Phys., 58:6 (2017), 957–967
Citation in format AMSBIB
\Bibitem{Sha17}
\by Yu.~V.~Shan'ko
\paper Solution of the Ovsyannikov problem of two-dimensional isothermal motion of a polytropic gas
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 6
\pages 3--15
\mathnet{http://mi.mathnet.ru/pmtf634}
\crossref{https://doi.org/10.15372/PMTF20170601}
\elib{https://elibrary.ru/item.asp?id=30676155}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 6
\pages 957--967
\crossref{https://doi.org/10.1134/S0021894417060013}
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