Integrable four-vortex motion on sphere with zero moment of vorticity

DOI10.1063/1.2430716zbMath1146.76521OpenAlexW2093459177MaRDI QIDQ3531890

Takashi Sakajo

Publication date: 3 November 2008

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

Full work available at URL: http://hdl.handle.net/2115/19108

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (9)

Integrability of point-vortex dynamics via symplectic reduction: a survey ⋮ Shape dynamics of N point vortices on the sphere ⋮ Three ways to solve the Poisson equation on a sphere with Gaussian forcing ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ Chaotic motion of the \(N\)-vortex problem on a sphere. II. Saddle centers in three-degree-of-freedom Hamiltonians ⋮ Equilibria and stability of four point vortices on a sphere ⋮ The \(N\)-vortex problem on a sphere: Geophysical mechanisms that break integrability ⋮ A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics ⋮ Chaotic motion of the \(N\)-vortex problem on a sphere. I. Saddle-centers in two-degree-of-freedom Hamiltonians

Cites Work

• Topological fluid mechanics of point vortex motions
• Motion of three point vortices on a sphere
• The motion of three point vortices on a sphere
• Four-vortex motion with zero total circulation and impulse
• Integrable four vortex motion
• On the geometry and dynamics of diffeomorphisms of surfaces
• Motion of three vortices
• Topological fluid mechanics of stirring
• The \(N\)-vortex problem. Analytical techniques

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