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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2010 Volume 51, Issue 3, Pages 55–65 (Mi pmtf1602)

This article is cited in 1 paper

Three-vortex motion with zero total circulation

A. I. Gudimenko, A. D. Zakharenko

Pacific Oceanological Institute, Far East Division, Russian Academy of Sciences, Vladivostok, 690041, Russia

Abstract: 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.

Keywords: point vortices, vortex dynamics, dynamic systems, asymptotic analysis, algebraic reduction.

UDC: 517.928, 532.517.43, 532.527

Received: 19.05.2009


 English version:
Journal of Applied Mechanics and Technical Physics, 2010, 51:3, 343–352

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