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Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions

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Abstract

Equations describing the dynamics of a viscous gas are considered in a bounded space-time domain. It is assumed that the boundary values of density distributions oscillate rapidly. Limit regimes that arise when the oscillation frequencies tend to infinity are studied. As a result, a limit (averaged) model is constructed that contains full information on the limit oscillation regimes and includes an additional kinetic equation that has the form of the Boltzmann equation in the kinetic theory of gases.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090, Russia

    P. I. Plotnikov & S. A. Sazhenkov

Authors
  1. P. I. Plotnikov
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  2. S. A. Sazhenkov
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Correspondence to P. I. Plotnikov.

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Original Russian Text © P.I. Plotnikov, S.A. Sazhenkov, 2013, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Vol. 281, pp. 68–83.

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Plotnikov, P.I., Sazhenkov, S.A. Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions. Proc. Steklov Inst. Math. 281, 62–76 (2013). https://doi.org/10.1134/S008154381304007X

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  • DOI: https://doi.org/10.1134/S008154381304007X

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