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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012 Issue 6, Pages 4–7 (Mi vyurm99)

This article is cited in 6 papers

Mathematics

Analysis of the invariance some mathematical models of multicomponent media

Yu. M. Kovalev, V. F. Kuropatenko

South Ural State University

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.

UDC: 532.5

Received: 13.03.2012



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