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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 2, Pages 199–203 (Mi pmtf1093)  

This article is cited in 3 scientific papers (total in 3 papers)

Simple waves of a seven-dimensional subalgebra of all translations in gas dynamics

S. V. Khabirov

Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054, Russia
Full-text PDF (165 kB) Citations (3)
Abstract: A differentially invariant solution of rank 1 for gas dynamics equations is considered in a seven-dimensional subalgebra of all translations including Galilean translations. Exact solutions with a uniformly accelerated plane of the level of invariant functions are obtained. A nonisentropic wave depends on two arbitrary functions and constants. A general solution of an isentropic simple wave depends on the constants only.
Keywords: gas dynamics, subalgebra of translations, simple wave.
Received: 11.12.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 2, Pages 362–366
DOI: https://doi.org/10.1134/S0021894414020199
Bibliographic databases:
Document Type: Article
UDC: 533
Language: Russian
Citation: S. V. Khabirov, “Simple waves of a seven-dimensional subalgebra of all translations in gas dynamics”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 199–203; J. Appl. Mech. Tech. Phys., 55:2 (2014), 362–366
Citation in format AMSBIB
\Bibitem{Kha14}
\by S.~V.~Khabirov
\paper Simple waves of a seven-dimensional subalgebra of all translations in gas dynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 2
\pages 199--203
\mathnet{http://mi.mathnet.ru/pmtf1093}
\elib{https://elibrary.ru/item.asp?id=21946341}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 2
\pages 362--366
\crossref{https://doi.org/10.1134/S0021894414020199}
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  • https://www.mathnet.ru/eng/pmtf/v55/i2/p199
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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