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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 2, Pages 53–60 (Mi pmtf1716)  
This article is cited in 8 scientific papers (total in 8 papers)

Method of $\mathrm{A}$-operators and conservation laws for the equations of gas dynamics

Yu. A. Chirkunov

Novosibirsk State University of Economics and Management, Novosibirsk, 630070, Russia
Full-text PDF (223 kB) Citations (8)
Abstract: An algorithm is proposed which allows all conservation laws for a system of differential equations to be to obtained from its one zero-order conservation law for which the general rank of the Jacobi matrix is equal to the number of independent variables of the system. The efficiency of the algorithm is shown by examples of the equations of gas dynamics, for which new conservation laws are derived. For the equations considered, additional symmetry properties related to these conservation laws are established.
Keywords: operator, conservation law, classification of the equations of irrotational gas motion, gas dynamics, symmetry, equivalence.
Received: 22.05.2008
Accepted: 06.10.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 2, Pages 213–219
DOI: https://doi.org/10.1007/s10808-009-0029-7
Bibliographic databases:
Document Type: Article
UDC: 517.944+533.6
Language: Russian
Citation: Yu. A. Chirkunov, “Method of $\mathrm{A}$-operators and conservation laws for the equations of gas dynamics”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009), 53–60; J. Appl. Mech. Tech. Phys., 50:2 (2009), 213–219
Citation in format AMSBIB
\Bibitem{Chi09}
\by Yu.~A.~Chirkunov
\paper Method of $\mathrm{A}$-operators and conservation laws for the equations of gas dynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 2
\pages 53--60
\mathnet{http://mi.mathnet.ru/pmtf1716}
\elib{https://elibrary.ru/item.asp?id=11839328}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 2
\pages 213--219
\crossref{https://doi.org/10.1007/s10808-009-0029-7}
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  • https://www.mathnet.ru/eng/pmtf/v50/i2/p53
    • This publication is cited in the following 8 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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