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Periodic motions of vortices on surfaces with symmetry

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Publication:4549888
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DOI10.1017/S0022112002008315zbMath1016.76013OpenAlexW2144071312MaRDI QIDQ4549888

Anik Soulière, Tadashi Tokieda

Publication date: 28 August 2002

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112002008315


zbMATH Keywords

spheresbifurcationscylinderspoint vorticesperiodic motionsellipsoids of revolutionsurfaces with symmetry


Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)


Related Items

Platonic solids and symmetric solutions of the \(N\)-vortex problem on the sphere ⋮ Vortices on Closed Surfaces ⋮ A novel formulation of point vortex dynamics on the sphere: geometrical and numerical aspects ⋮ Relative periodic solutions of the \(N\)-vortex problem via the variational method ⋮ Point-vortex cluster formation in the plane and on the sphere: An energy bifurcation condition ⋮ Lyapunov orbits in the \(n\)-vortex problem on the sphere ⋮ Invariant dynamical systems embedded in the \(N\)-vortex problem on a sphere with pole vortices ⋮ The \(n\)-vortex problem on a Riemann sphere ⋮ Lyapunov orbits in the \(n\)-vortex problem




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