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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2012, Issue 6, Pages 4–7 (Mi vyurm99)  
This article is cited in 6 scientific papers (total in 6 papers)

Mathematics

Analysis of the invariance some mathematical models of multicomponent media

Yu. M. Kovalev, V. F. Kuropatenko

South Ural State University
Full-text PDF (140 kB) Citations (6)
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Abstract: The analysis of the invariance under the Galilean transformation of the mathematical model of “frozen” gas suspension is done. It is shown that the mathematical model of the “frozen” gas suspension is not invariant under the Galilean transformations. This leads to appearance of a fictitious source term in the energy equation.
Keywords: mathematical model, invariance, multi-component mixture.
Received: 13.03.2012
Document Type: Article
UDC: 532.5
Language: Russian
Citation: Yu. M. Kovalev, V. F. Kuropatenko, “Analysis of the invariance some mathematical models of multicomponent media”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 6, 4–7
Citation in format AMSBIB
\Bibitem{KovKur12}
\by Yu.~M.~Kovalev, V.~F.~Kuropatenko
\paper Analysis of the invariance some mathematical models of multicomponent media
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2012
\issue 6
\pages 4--7
\mathnet{http://mi.mathnet.ru/vyurm99}
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  • https://www.mathnet.ru/eng/vyurm/y2012/i6/p4
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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