Studies of perturbed three vortex dynamics

DOI10.1063/1.2428272zbMath1144.81316arXivmath/0609427OpenAlexW1593464927WikidataQ126253301 ScholiaQ126253301MaRDI QIDQ3529775

Omar M. Knio, Lu Ting, D. L. Blackmore

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609427

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (5)

On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ Stability of relative equilibria of three vortices ⋮ Explicit nondegeneracy conditions of KAM tori for the planar N-point vortex systems ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 1. Analysis of relative and absolute motions ⋮ A coaxial vortex ring model for vortex breakdown

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