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Matematicheskoe modelirovanie, 2015, Volume 27, Number 8, Pages 63–84 (Mi mm3638)  
This article is cited in 3 scientific papers (total in 3 papers)

Coherent hydrodynamic structures and vortex dynamics

O. M. Belotserkovskiia, N. N. Fiminb, V. M. Chechetkinb

a Institute of Computer Aided Design RAS
b Keldysh Institute of Applied Mathematics RAS
Full-text PDF (473 kB) Citations (3)
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Abstract: 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.
Keywords: coherent hydrodynamic structures, Onsager vortices, Vlasov equation, Poisson systems, variation problem, Joyce–Montgomery equation, solution branching.
Received: 26.01.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 2, Pages 135–148
DOI: https://doi.org/10.1134/S2070048216020034
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. M. Belotserkovskii, N. N. Fimin, V. M. Chechetkin, “Coherent hydrodynamic structures and vortex dynamics”, Matem. Mod., 27:8 (2015), 63–84; Math. Models Comput. Simul., 8:2 (2016), 135–148
Citation in format AMSBIB
\Bibitem{BelFimChe15}
\by O.~M.~Belotserkovskii, N.~N.~Fimin, V.~M.~Chechetkin
\paper Coherent hydrodynamic structures and vortex dynamics
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 8
\pages 63--84
\mathnet{http://mi.mathnet.ru/mm3638}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3545182}
\elib{https://elibrary.ru/item.asp?id=24850096}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 2
\pages 135--148
\crossref{https://doi.org/10.1134/S2070048216020034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962779523}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:48
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