Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2006, Volume 2, Number 4, Pages 425–434 (Mi nd181)  

This article is cited in 2 scientific papers (total in 2 papers)

Vorticity equation of 2D-hydrodynamics, Vlasov steady-state kinetic equation and developed turbulence

Valery V. Kozlov

Russian Academy of Sciences
Full-text PDF (152 kB) Citations (2)
Abstract: The issues discussed in this paper relate to the description of developed two-dimensional turbulence, when the mean values of characteristics of steady flow stabilize. More exactly, the problem of a weak limit of vortex distribution in two-dimensional flow of an ideal fluid at time tending to infinity is considered. Relations between the vorticity equation and the well-known Vlasov equation are discussed.
Keywords: vortex motion equation, vorticity, Vlasov equation.
Received: 01.11.2006
Document Type: Article
UDC: 532.517.4
MSC: 76Fxx, 76F70
Language: Russian
Citation: Valery V. Kozlov, “Vorticity equation of 2D-hydrodynamics, Vlasov steady-state kinetic equation and developed turbulence”, Nelin. Dinam., 2:4 (2006), 425–434
Citation in format AMSBIB
\Bibitem{Koz06}
\by Valery~V.~Kozlov
\paper Vorticity equation of 2D-hydrodynamics, Vlasov steady-state kinetic equation and developed turbulence
\jour Nelin. Dinam.
\yr 2006
\vol 2
\issue 4
\pages 425--434
\mathnet{http://mi.mathnet.ru/nd181}
Linking options:
  • https://www.mathnet.ru/eng/nd181
  • https://www.mathnet.ru/eng/nd/v2/i4/p425
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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