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// Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
// Archive
Zh. Vychisl. Mat. Mat. Fiz.,
2018
Volume 58,
Number 3,
Pages
473–484
(Mi zvmmf10697)
This article is cited 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
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.
UDC:
519.634
Received:
29.12.2016
DOI:
10.7868/S0044466918030134
References
Cited by
English version:
Computational Mathematics and Mathematical Physics, 2018,
58
:3,
449–460
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024
References