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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2015 001, 35 pp. (Mi ipmp1964)

This article is cited in 1 paper

Coherent hydrodynamic structures and vortex dynamics

N. N. Fimin, V. M. Chechetkin


Abstract: Possible approaches to modeling 2D coherent hydrodynamic structures are considered on the basis of statistical mechanics of local vortices. Exact definitions of coherence of structures are given and shown mechanisms of their formation. The bases of the kinetic theory of Onsager vortices are given and opportunity is lit applications "classical” molecular–kinetic theory for an explanation of emergence of vortex mesostructures in the shear layers.

Keywords: Onsager vortices, Joyce–Montgomery equation, Poisson systems, functional variation, relative equilibrium state, BBGKY hierarchy.



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