Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 4, Pages 659–670 (Mi nd413)  
The evolution point dipole vortex in a domain with circular boundaries

Konstantin N. Kulika, Anatoly V. Turb, Vladimir V. Yanovskiica

a Institute for Single Crystals of NAS of Ukraine, Lenin Ave. 60, Kharkov, 61001, Ukraine
b Université de Toulouse [UPS], CNRS, Institut de Recherche en Astrophysique et Planétologie, 9 avenue du Colonel Roche, BP 44346, 31028 Toulouse Cedex 4, France
c V. N. Karazin Kharkov National University, Svobody Sq. 4, Kharkov, 61022, Ukraine
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Abstract: In this work considered the motion of a point dipole vortex in circular domain occupied by an ideal fluid. The motion equations for a dipole vortex in an domain bounded by solid wall, are obtained. These equations have the Hamiltonian form. Integrability in the quadratures of the motion equations for a point dipole vortex in a circular domain is proved. The character movement vortex is discussed.
Keywords: point dipole vortex, Hamiltonian, motion equations.
Received: 22.10.2013
Revised: 12.12.2013
Document Type: Article
UDC: 532.5, 532.511, 532.1-2
MSC: 76M23
Language: Russian
Citation: Konstantin N. Kulik, Anatoly V. Tur, Vladimir V. Yanovskii, “The evolution point dipole vortex in a domain with circular boundaries”, Nelin. Dinam., 9:4 (2013), 659–670
Citation in format AMSBIB
\Bibitem{KulTouYan13}
\by Konstantin~N.~Kulik, Anatoly~V.~Tur, Vladimir~V.~Yanovskii
\paper The evolution point dipole vortex in a domain with circular boundaries
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 4
\pages 659--670
\mathnet{http://mi.mathnet.ru/nd413}
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