Four-vortex motion with zero total circulation and impulse

DOI10.1063/1.870233zbMath1149.76306OpenAlexW2089227083MaRDI QIDQ3543972

Hassan Aref, Mark A. Stremler

Publication date: 5 December 2008

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

Full work available at URL: http://hdl.handle.net/2142/111775

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (20)

Instability of secondary vortices generated by a vortex pair in ground effect ⋮ Interactions of two vortices near step topography ⋮ Chaotic scattering of two identical point vortex pairs revisited ⋮ On the stability of two-layer geostrophic point-vortex multipoles ⋮ Nonlinear excursions of particles in ideal 2D flows ⋮ Point vortex dynamics: A classical mathematics playground ⋮ Studies of perturbed three vortex dynamics ⋮ Rotating multipoles on the f- and γ-planes ⋮ Integrable four-vortex motion on sphere with zero moment of vorticity ⋮ Point-vortex cluster formation in the plane and on the sphere: An energy bifurcation condition ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 1. Analysis of relative and absolute motions ⋮ Finiteness of stationary configurations of the four-vortex problem ⋮ Rotating Nonlinear Vortical Patterns on a Gamma Plane ⋮ Exploring the dynamics of ‘2P’ wakes with reflective symmetry using point vortices ⋮ Symplectic reduction and the Lie–Poisson shape dynamics of N point vortices on the plane ⋮ A vortex ring on a sphere: the case of total vorticity equal to zero ⋮ Stability of point-vortex multipoles revisited ⋮ Group scattering of point vortices on an unbounded plane ⋮ An anisotropic particle in a simple shear flow: an instance of chaotic scattering

Cites Work

• Three-vortex motion with zero total circulation: Addendum
• Integrable four vortex motion
• Integrable and chaotic motions of four vortices II. Collision dynamics of vortex pairs
• Motion of three vortices
• On the motion of three point vortices in a periodic strip
• Four vortices on doubly periodic paths
• Motion of three point vortices in a periodic parallelogram
• On The Motion of Three Vortices
• Three-vortex motion with zero total circulation

This page was built for publication: Four-vortex motion with zero total circulation and impulse