Geodesic
Interaction of point and dipole vortices in an incompressible liquid
Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 3, pp. 459-480 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss the interaction between point vortices and point dipole vortices in two-dimensional ideal hydrodynamics and show that the equations of motion of the interacting point and point dipole vortices are exactly integrable. We find exact solutions for all possible parameter values characterizing the vortices and for arbitrary initial conditions and establish the regimes of vortex motion.
Keywords: two-dimensional ideal hydrodynamics, Hamiltonian formalism, regime of motion.
Mots-clés : point vortex, point dipole vortex, exact solution 
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K. N. Kulik; A. V. Tur; V. V. Yanovskii. Interaction of point and dipole vortices in an incompressible liquid. Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 3, pp. 459-480. http://geodesic.mathdoc.fr/item/TMF_2010_162_3_a9/

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