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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 6, Pages 602–622
DOI: https://doi.org/10.1134/S1560354711060049 (Mi rcd459) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Vlasov Kinetic Equation, Dynamics of Continuum and Turbulence

Valery V. Kozlov

V.A. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Citations (6)
DOI: https://doi.org/10.1134/S1560354711060049
Abstract: We consider a continuum of interacting particles whose evolution is governed by the Vlasov kinetic equation. An infinite sequence of equations of motion for this medium (in the Eulerian description) is derived and its general properties are explored. An important example is a collisionless gas, which exhibits irreversible behavior. Though individual particles interact via a potential, the dynamics of the continuum bears dissipative features. Applicability of the Vlasov equations to the modeling of small-scale turbulence is discussed.
Keywords: kinetic Vlasov’s equation, Euler’s equation, continuum, turbulence.
Received: 06.01.2011
Accepted: 03.03.2011
Bibliographic databases:
Document Type: Article
MSC: 37A60, 82B30, 82C05
Language: English
Citation: Valery V. Kozlov, “The Vlasov Kinetic Equation, Dynamics of Continuum and Turbulence”, Regul. Chaotic Dyn., 16:6 (2011), 602–622
Citation in format AMSBIB
\Bibitem{Koz11}
\by Valery V. Kozlov
\paper The Vlasov Kinetic Equation, Dynamics of Continuum and Turbulence
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 6
\pages 602--622
\mathnet{http://mi.mathnet.ru/rcd459}
\crossref{https://doi.org/10.1134/S1560354711060049}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2864537}
\zmath{https://zbmath.org/?q=an:1257.37016}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011RCD....16..602K}
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  • https://www.mathnet.ru/eng/rcd/v16/i6/p602
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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