Analysis of the invariance some mathematical models of multicomponent media
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 4-7
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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.
@article{VYURM_2012_6_a0,
author = {Yu. M. Kovalev and V. F. Kuropatenko},
title = {Analysis of the invariance some mathematical models of multicomponent media},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {4--7},
publisher = {mathdoc},
number = {6},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2012_6_a0/}
}
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%0 Journal Article %A Yu. M. Kovalev %A V. F. Kuropatenko %T Analysis of the invariance some mathematical models of multicomponent media %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2012 %P 4-7 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2012_6_a0/ %G ru %F VYURM_2012_6_a0
Yu. M. Kovalev; V. F. Kuropatenko. Analysis of the invariance some mathematical models of multicomponent media. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 4-7. http://geodesic.mathdoc.fr/item/VYURM_2012_6_a0/