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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 3, Pages 473–484
DOI: https://doi.org/10.7868/S0044466918030134 (Mi zvmmf10697) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Hydrodynamic coherence and vortex solutions of the Euler–Helmholtz equation

N. N. Fimin, V. M. Chechetkin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
Citations (1)
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DOI: https://doi.org/10.7868/S0044466918030134
Abstract: The form of the general solution of the steady-state Euler–Helmholtz equation (reducible to the Joyce–Montgomery one) in arbitrary domains on the plane is considered. This equation describes the dynamics of vortex hydrodynamic structures.
Key words: Joyce–Montgomery equation, Euler equation, vortex structures, Gibbs measure, statistical integral, conformal mapping.
Funding agency Grant number
Russian Science Foundation 16-11-10339
Received: 29.12.2016
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 3, Pages 449–460
DOI: https://doi.org/10.1134/S0965542518030053
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. N. Fimin, V. M. Chechetkin, “Hydrodynamic coherence and vortex solutions of the Euler–Helmholtz equation”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018), 473–484; Comput. Math. Math. Phys., 58:3 (2018), 449–460
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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