Geodesic
The New Hyperbolic Models of Heterogeneous Environments
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 6 (2013) no. 1, pp. 72-84

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Invention mathematically and physically correct models multiphase environment is an important problem, since many of the available models of heterogeneous environment are not such. In this paper, for multi-component environment offers two new models - single- and multi-velocity approximations. The models are based on the laws of conservation. Viscous and heat-conducting properties of the mixture are considered. For the described models is constructed automodels solution kind of traveling wave. On the example of a binary mixture have done of calculations for single- and multi-velocity approximations. It is shown that, if the use of the relaxation of the laws for the dissipative processes then the system of equations are hyperbolic.
Keywords: multicomponent viscous heat-conducting mixture, singlevelocity and multivelocity multicomponent medium, hyperbolic systems of partial differential equations, automodel solutions. 
V. S. Surov; I. V. Berezansky. The New Hyperbolic Models of Heterogeneous Environments. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 6 (2013) no. 1, pp. 72-84. http://geodesic.mathdoc.fr/item/VYURU_2013_6_1_a6/
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