Geodesic
The evolution point dipole vortex in a domain with circular boundaries
Russian journal of nonlinear dynamics, Tome 9 (2013) no. 4, pp. 659-670

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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.
Mots-clés : point dipole vortex, motion equations.
Keywords: Hamiltonian 
@article{ND_2013_9_4_a4,
     author = {Konstantin N. Kulik and Anatoly V. Tur and Vladimir V. Yanovskii},
     title = {The evolution point dipole vortex in a domain with circular boundaries},
     journal = {Russian journal of nonlinear dynamics},
     pages = {659--670},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2013_9_4_a4/}
}
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Konstantin N. Kulik; Anatoly V. Tur; Vladimir V. Yanovskii. The evolution point dipole vortex in a domain with circular boundaries. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 4, pp. 659-670. http://geodesic.mathdoc.fr/item/ND_2013_9_4_a4/