Vorticity Equation of 2D-Hydrodynamics, Vlasov Steady-State Kinetic Equation and Developed Turbulence

  • Valery V. Kozlov
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 6)


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.


Vortex motion equation vorticity Vlasov equation 


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Copyright information

© Springer Science + Business Media B.V 2008

Authors and Affiliations

  • Valery V. Kozlov
    • 1
  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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