Relative equilibria of point vortices on the hyperbolic sphere

DOI10.1063/1.4811454zbMath1366.76015OpenAlexW2079069148MaRDI QIDQ5402304

Seungsu Hwang, Sun-Chul Kim

Publication date: 6 March 2014

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

Full work available at URL: https://doi.org/10.1063/1.4811454

zbMATH Keywords

configuration of rings of vorticeshyperbolic sphere with constant negative curvature

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (7)

Integrability of point-vortex dynamics via symplectic reduction: a survey ⋮ Point vortices on the hyperbolic plane ⋮ A minimal-variable symplectic method for isospectral flows ⋮ Stuart vortices on a hyperbolic sphere ⋮ Getting into the vortex: on the contributions of James Montaldi ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ Toroidal geometry stabilizing a latitudinal ring of point vortices on a torus

Cites Work

• Equilibrium configurations of point vortices on a sphere
• Curvature perturbations and stability of a ring of vortices
• Point vortices on hyperbolic sphere
• Point vortices on the sphere: a case with opposite vorticities
• Latitudinal point vortex rings on the spheroid
• Stationary Configurations of Point Vortices
• Finite subgroups of the generalized Lorentz groups O(p,q)
• Stability of streets of vortices on surfaces of revolution with a reflection symmetry
• Vortex motion on surfaces with constant curvature
• Vortex Dynamics on a Cylinder
• Point vortices on a sphere: Stability of relative equilibria
• Discrete Subgroups of the Lorentz Group.
• The \(N\)-vortex problem. Analytical techniques

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