A New Integrable Problem of Motion of Point Vortices on The Sphere

DOI10.1007/978-1-4020-6744-0_4zbMath1207.76030OpenAlexW983518313MaRDI QIDQ3081100

Ivan. S. Mamaev, Alexander A. Kilin, Alexey V. Borisov

Publication date: 11 March 2011

Published in: IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-6744-0_4

zbMATH Keywords

vortex dynamicsreductionhydrodynamicsideal fluidbifurcation analysispoint vortex

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (6)

The dynamics of vortex sources in a deformation flow ⋮ How do singularities move in potential flow? ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ The spatial problem of 2 bodies on a sphere. Reduction and stochasticity ⋮ Bifurcations and Chaos in the Dynamics of Two Point Vortices in an Acoustic Wave ⋮ On the linear stability of a vortex pair equilibrium on a Riemann surface of genus zero

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