The evolution point dipole vortex in a domain with circular boundaries


    2013, Vol. 9, No. 4, pp.  659-669

    Author(s): Kulik K. N., Tur A. V., Yanovsky V. V.

    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
    Citation: Kulik K. N., Tur A. V., Yanovsky V. V., The evolution point dipole vortex in a domain with circular boundaries, Rus. J. Nonlin. Dyn., 2013, Vol. 9, No. 4, pp.  659-669
    DOI:10.20537/nd1304005


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