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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2014, Volume 7, Issue 3, Pages 40–49
DOI: https://doi.org/10.14529/mmp140304
(Mi vyuru143)
 

This article is cited in 7 scientific papers (total in 7 papers)

Mathematical Modelling

A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation

Yu. M. Kovalev, E. E. Pigasov

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (596 kB) Citations (7)
References:
Abstract: In this paper we propose a mathematical model describing the transition of solid unitary fuel from combustion to explosion in a two-phase heterogeneous gas-solid environment. The model is invariant under the Galilean transformations. It turned out that the existing mathematical models of this phenomenon lack invariance under the Galilean transformations. We studied in detail the reasons making the conservation laws not invariant and eliminated them in the model we propose.
Keywords: mathematical model; invariance; multi-component mixture; heterogeneous environments.
Received: 01.06.2014
Document Type: Article
UDC: 532.529
MSC: 76L05
Language: Russian
Citation: Yu. M. Kovalev, E. E. Pigasov, “A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:3 (2014), 40–49
Citation in format AMSBIB
\Bibitem{KovPig14}
\by Yu.~M.~Kovalev, E.~E.~Pigasov
\paper A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2014
\vol 7
\issue 3
\pages 40--49
\mathnet{http://mi.mathnet.ru/vyuru143}
\crossref{https://doi.org/10.14529/mmp140304}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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