Coherent hydrodynamic structures and vortex dynamics

O. M. Belotserkovskii ; N. N. Fimin ; V. M. Chechetkin

Matematičeskoe modelirovanie, Tome 27 (2015) no. 8, pp. 63-84.

Résumé

Possible approaches to modeling of 2-dimensional coherent hydrodynamic structures on the basis of statistical mechanics of local vortices are considered. Exact definitions of coherent structures are given and mechanisms of their formation are shown. The bases of the kinetic theory of Onsager vortices are given and possibility of application of the classical molecular-kinetic theory for an explanation of origin of vortex mesostructures in the shear flows is considered.

Détail

Keywords: coherent hydrodynamic structures, Poisson systems, Joyce–Montgomery equation, solution branching.
Mots-clés : Onsager vortices, Vlasov equation, variation problem

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