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Preprints of the Keldysh Institute of Applied Mathematics, 2016, 135, 20 pp.
DOI: https://doi.org/10.20948/prepr-2016-135 (Mi ipmp2209) 		 
Vortex solutions of Euler equation and its properties

N. N. Fimin, V. M. Chechetkin
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DOI: https://doi.org/10.20948/prepr-2016-135
Abstract: We consider existence and form of general solution of steady-state Euler–Helmholtz equation. This equation transforms to Joyce–Montgomery equation for analysis of vortex hydrodynamic structures.
Keywords: Onsager vortices, Rankine vortices, statistical integral, conformal mapping, Joyce–Montgomery equation.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00670_а
14-29-06086_офи_м
Document Type: Preprint
Language: Russian
Citation: N. N. Fimin, V. M. Chechetkin, “Vortex solutions of Euler equation and its properties”, Keldysh Institute preprints, 2016, 135, 20 pp.
Citation in format AMSBIB
\Bibitem{FimChe16}
\by N.~N.~Fimin, V.~M.~Chechetkin
\paper Vortex solutions of Euler equation and its properties
\jour Keldysh Institute preprints
\yr 2016
\papernumber 135
\totalpages 20
\mathnet{http://mi.mathnet.ru/ipmp2209}
\crossref{https://doi.org/10.20948/prepr-2016-135}
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