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

    2006, Vol. 2, No. 4, pp.  425-434

    Author(s): Kozlov V. V.

    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
    Citation: Kozlov V. V., Vorticity equation of 2D-hydrodynamics, Vlasov steady-state kinetic equation and developed turbulence, Rus. J. Nonlin. Dyn., 2006, Vol. 2, No. 4, pp.  425-434
    DOI:10.20537/nd0604004


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