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