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.
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© 2008 Springer Science + Business Media B.V
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Kozlov, V.V. (2008). Vorticity Equation of 2D-Hydrodynamics, Vlasov Steady-State Kinetic Equation and Developed Turbulence. In: Borisov, A.V., Kozlov, V.V., Mamaev, I.S., Sokolovskiy, M.A. (eds) IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence. IUTAM Bookseries, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6744-0_3
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DOI: https://doi.org/10.1007/978-1-4020-6744-0_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6743-3
Online ISBN: 978-1-4020-6744-0
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