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    Interaction between Kirchhoff vortices and point vortices in an ideal fluid

    2006, Vol. 2, No. 2, pp.  199-213

    Author(s): Borisov A. V., Mamaev I. S.

    We consider the interaction of two vortex patches (elliptic Kirchhoff vortices) which move in an unbounded volume of an ideal incompressible fluid. A moment second-order model is used to describe the interaction. The case of integrability of a Kirchhoff vortex and a point vortex by the variable separation method is qualitatively analyzed. A new case of integrability of two Kirchhoff vortices is found. A reduced form of equations for two Kirchhoff vortices is proposed and used to analyze their regular and chaotic behavior.



    Keywords: Kirchhoff vortices, integrability, Hamiltonian, stability, point vortex
    Citation: Borisov A. V., Mamaev I. S., Interaction between Kirchhoff vortices and point vortices in an ideal fluid, Rus. J. Nonlin. Dyn., 2006, Vol. 2, No. 2, pp.  199-213
    DOI:10.20537/nd0602005


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