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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 954–964 (Mi zvmmf4517)  

This article is cited in 1 scientific paper (total in 1 paper)

The $H$-theorem and Onsager principle for the stationary Boltzmann's equation

A. M. Bishaev, V. A. Rykov

Moscow
Abstract: Using the kinetic approach, an expression is obtained for the generation of entropy in the problem of external flow past a body. Using the linear Boltzmann equation and the boundary conditions satisfying the reciprocity conditions, the symmetry (the Onsager principle) of the kinetic coefficients in flows is proved.
Received: 06.08.1981
Revised: 28.10.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 116–123
DOI: https://doi.org/10.1016/S0041-5553(83)80139-6
Bibliographic databases:
Document Type: Article
UDC: 517.958:530.1
MSC: Primary 76P05; Secondary 82B40
Language: Russian
Citation: A. M. Bishaev, V. A. Rykov, “The $H$-theorem and Onsager principle for the stationary Boltzmann's equation”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 954–964; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 116–123
Citation in format AMSBIB
\Bibitem{BisRyk83}
\by A.~M.~Bishaev, V.~A.~Rykov
\paper The $H$-theorem and Onsager principle for the stationary Boltzmann's equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 954--964
\mathnet{http://mi.mathnet.ru/zvmmf4517}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717025}
\zmath{https://zbmath.org/?q=an:0552.76067}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 116--123
\crossref{https://doi.org/10.1016/S0041-5553(83)80139-6}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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