Geodesic
Vorticity equation of 2D-hydrodynamics, Vlasov steady-state kinetic equation and developed turbulence
Russian journal of nonlinear dynamics, Tome 2 (2006) no. 4, pp. 425-434.

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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.
Mots-clés : vortex motion equation, Vlasov equation.
Keywords: vorticity 
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     author = {Valery V. Kozlov},
     title = {Vorticity equation of {2D-hydrodynamics,} {Vlasov} steady-state kinetic equation and developed turbulence},
     journal = {Russian journal of nonlinear dynamics},
     pages = {425--434},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/ND_2006_2_4_a3/}
}
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Valery V. Kozlov. Vorticity equation of 2D-hydrodynamics, Vlasov steady-state kinetic equation and developed turbulence. Russian journal of nonlinear dynamics, Tome 2 (2006) no. 4, pp. 425-434. http://geodesic.mathdoc.fr/item/ND_2006_2_4_a3/