Lenin Ave. 60, Kharkov, 61001, Ukraine
Institute for Single Crystals of NAS of Ukraine
Kulik K. N., Tur A. V., Yanovsky V. V.
The evolution point dipole vortex in a domain with circular boundaries
2013, Vol. 9, No. 4, pp. 659-669
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.