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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 281, Pages 68–83
DOI: https://doi.org/10.1134/S0371968513020076 (Mi tm3471) 		 
Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions

P. I. Plotnikov, S. A. Sazhenkov

Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia
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DOI: https://doi.org/10.1134/S0371968513020076
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.
Received in September 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 281, Pages 62–76
DOI: https://doi.org/10.1134/S008154381304007X
Bibliographic databases:
Document Type: Article
UDC: 517.958+531.332
Language: Russian
Citation: P. I. Plotnikov, S. A. Sazhenkov, “Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions”, Modern problems of mechanics, Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 281, MAIK Nauka/Interperiodica, Moscow, 2013, 68–83; Proc. Steklov Inst. Math., 281 (2013), 62–76
Citation in format AMSBIB
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\paper Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions
\inbook Modern problems of mechanics
\bookinfo Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday
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\vol 281
\pages 68--83
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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