Asymptotic Solutions of the Kinetic Boltzmann Equation and Multicomponent Non-Equilibrium Gas Dynamics - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.8, August 2016

Asymptotic Solutions of the Kinetic Boltzmann Equation and Multicomponent Non-Equilibrium Gas Dynamics ()

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DOI: 10.4236/jamp.2016.48177 1,910 Downloads 2,739 Views Citations

Author(s)

S. A. Serov¹, S. S. Serova²

Affiliation(s)

¹Fundamental Researches Department, Russian Federal Nuclear Centre, All-Russian Scientific Research Institute of Experimental Physics, Sarov, Russia.
²St. Petersburg State University, St. Petersburg, Russia.

ABSTRACT

In the article correct method for the kinetic Boltzmann equation asymptotic solution is formulated, the Hilbert’s and Enskog’s methods are discussed. The equations system of multicomponent non- equilibrium gas dynamics is derived, that corresponds to the first order in the approximate (asym- ptotic) method for solution of the system of kinetic Boltzmann equations.

KEYWORDS

Kinetic Boltzmann Equation, Multicomponent Non-Equilibrium Gas Dynamics

Share and Cite:

Serov, S. and Serova, S. (2016) Asymptotic Solutions of the Kinetic Boltzmann Equation and Multicomponent Non-Equilibrium Gas Dynamics. Journal of Applied Mathematics and Physics, 4, 1687-1697. doi: 10.4236/jamp.2016.48177.

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