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 JAMP  Vol.4 No.8 , August 2016
Asymptotic Solutions of the Kinetic Boltzmann Equation and Multicomponent Non-Equilibrium Gas Dynamics
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.
Cite this paper: 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.
References

[1]   Hilbert, D. (1912) Grundzüge einer Allgemeinen Theorie der Linearen Integralgleichungen. Teubner, Leipzig and Berlin. (In Ger-man)

[2]   Chapman, S. and Cowling, T.G. (1952) The Mathematical Theory of Non-uniform Gases. Cambridge University Press, Cambridge.

[3]   Struminskii, V.V. (1974) Influence of Diffusion Velocity on Flow of Gas Mixtures. Prikladnaya Mathematica i Me-chanica [Applied Mathematics and Mechanics], 38, 203-210. (In Russian)

[4]   Hirschfelder, J.O., Curtiss, Ch.F. and Bird, R.B. (1954) Molecular Theory of Gases and Liquids. Wiley, New York.

 
 
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