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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 1, Pages 3–6 (Mi pmtf1556)  
This article is cited in 12 scientific papers (total in 12 papers)

Conservation laws and group properties of equations of isentropic gas motion

Yu. A. Chirkunov

Novosibirsk State Technical University, Novosibirsk, 630092, Russia
Full-text PDF (179 kB) Citations (12)
Abstract: A system of equations of isentropic gas motion with $n\ge2$ is classified in terms of zero-order conservation laws with the use of the method of $\mathbf{A}$-operators. New conservation laws are found to be valid only for potential isentropic motion of the Chaplygin gas. In this case, the greatest number of nontrivial conservation laws is obtained, with $n$ scalar conservation laws being nonlocal. Additional properties of symmetry of the considered equations associated with these conservation laws are indicated.
Keywords: conservation law, classification of equations of isentropic gas motion, nonlocal conservation laws, nonlocal symmetries, Chaplygin gas.
Received: 04.12.2008
Accepted: 12.02.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 1, Pages 1–3
DOI: https://doi.org/10.1007/s10808-010-0001-6
Bibliographic databases:
Document Type: Article
UDC: 533.6+517.944
Language: Russian
Citation: Yu. A. Chirkunov, “Conservation laws and group properties of equations of isentropic gas motion”, Prikl. Mekh. Tekh. Fiz., 51:1 (2010), 3–6; J. Appl. Mech. Tech. Phys., 51:1 (2010), 1–3
Citation in format AMSBIB
\Bibitem{Chi10}
\by Yu.~A.~Chirkunov
\paper Conservation laws and group properties of equations of isentropic gas motion
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 1
\pages 3--6
\mathnet{http://mi.mathnet.ru/pmtf1556}
\elib{https://elibrary.ru/item.asp?id=13026100}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 1
\pages 1--3
\crossref{https://doi.org/10.1007/s10808-010-0001-6}
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  • https://www.mathnet.ru/eng/pmtf/v51/i1/p3
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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