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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 5, Pages 869–878
DOI: https://doi.org/10.7868/S0044466916050070 (Mi zvmmf10389) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Problem with nonequilibrium boundary conditions in the kinetic theory of gases

V. V. Aristova, S. A. Zabeloka, M. A. Fedosovb, A. A. Frolovaa

a Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
b Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
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DOI: https://doi.org/10.7868/S0044466916050070
Abstract: The Boltzmann kinetic equation is considered in a new formulation with nonequilibrium distribution functions on free boundaries, which makes it possible to simulate nonequilibrium superand subsonic flows. Transport processes for such flows are analyzed. The possibility of anomalous transport is determined, in which case the heat flux, temperature gradient, and the corresponding components of the nonequilibrium stress tensor and the velocity gradient have the same sign.
Key words: rarefied gas, Boltzmann kinetic equation, model kinetic equations, nonequilibrium freeboundary conditions, anomalous transport, numerical method.
Funding agency Grant number
Russian Science Foundation 14-11-00870
Received: 24.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 5, Pages 854–863
DOI: https://doi.org/10.1134/S0965542516050079
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. V. Aristov, S. A. Zabelok, M. A. Fedosov, A. A. Frolova, “Problem with nonequilibrium boundary conditions in the kinetic theory of gases”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016), 869–878; Comput. Math. Math. Phys., 56:5 (2016), 854–863
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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