Analysis of invariance under Galilean transformation of two-phase mathematical models of heterogeneous media
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 1, pp. 30-35
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The article analyzes the invariance under Galilean transformation of mathematical model describing the transition of combustion into an explosion of solid monopropellant in a two-phase heterogeneous medium: gas is solid. It has been shown that the equation of total energy conservation of the mixture is not invariant under Galilean transformation. Consequently, this model can not be used in the analysis of the transition of convective combustion of solid unitary fuel into explosion.
Keywords:
mathematical model, invariance, multi-component mixture.
@article{VYURM_2014_6_1_a5,
author = {Yu. M. Kovalev},
title = {Analysis of invariance under {Galilean} transformation of two-phase mathematical models of heterogeneous media},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {30--35},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a5/}
}
TY - JOUR AU - Yu. M. Kovalev TI - Analysis of invariance under Galilean transformation of two-phase mathematical models of heterogeneous media JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2014 SP - 30 EP - 35 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a5/ LA - ru ID - VYURM_2014_6_1_a5 ER -
%0 Journal Article %A Yu. M. Kovalev %T Analysis of invariance under Galilean transformation of two-phase mathematical models of heterogeneous media %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2014 %P 30-35 %V 6 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a5/ %G ru %F VYURM_2014_6_1_a5
Yu. M. Kovalev. Analysis of invariance under Galilean transformation of two-phase mathematical models of heterogeneous media. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 1, pp. 30-35. http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a5/