Geodesic
A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 7 (2014) no. 3, pp. 40-49

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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. 
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     author = {Yu. M. Kovalev and E. E. Pigasov},
     title = {A {Mathematical} {Model} of {Gas} {Suspension} with {Chemical} {Reactions} in the {Pair-Interaction} {Approximation}},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
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Yu. M. Kovalev; E. E. Pigasov. A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 7 (2014) no. 3, pp. 40-49. http://geodesic.mathdoc.fr/item/VYURU_2014_7_3_a3/