Three-vortex motion with zero total circulation
Motion of three point vortices with zero total circulation in an ideal liquid is studied. Vortex trajectories are studied numerically over a wide range of their circulations at various initial positions. Asymptotics of vortex motions are calculated for configurations close to singular and collinear ones.
Key wordspoint vortices vortex dynamics dynamic systems asymptotic analysis algebraic reduction
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- 5.A. I. Gudimenko and K. G. Kuptsov, “Motion of three point vortices in the case where one of them passes through the center of circulation,” Vestn. Udmurt. Gos. Univ., No. 2, 38–52 (2009).Google Scholar