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math-ph2016
Reconstruction phases in the planar three- and four-vortex problems
Antonio Hernández-Garduño, Banavara N. Shashikanth
Pure reconstruction phases, geometric and dynamic, are computed in the -point-vortex model in the plane, for the cases and . The phases are computed relative to a met…
math-ph2016★ 1 cited
Three-Point Vortex Dynamics as a Lie-Poisson System
Antonio Hernández-Garduño
This paper studies the reduced dynamics of the three-vortex problem from the point of view of Lie-Poisson reduction on the dual of the Lie algebra of . The algebraic study…
math-ph2006★ 4 cited
Collisions of Four Point Vortices in the Plane
Antonio Hernández-Garduño, Ernesto A. Lacomba
This paper addresses the question of existence of (not necessarily self-similar) solutions to the 4-vortex problem that lead to total or partial collision. We begin by showing that…