Energy-momentum stability of icosahedral configurations of point vortices on a sphere

DOI10.1007/s00332-012-9142-5zbMath1351.37223OpenAlexW1997764531MaRDI QIDQ715490

Paul K. Newton, Vitalii Ostrovskyi

Publication date: 29 October 2012

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-012-9142-5

zbMATH Keywords

relative equilibriaenergy-momentum methodpoint vortex equilibriastability of point vortices

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Stability problems in rigid body dynamics (70E50) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items

Platonic solids and symmetric solutions of the \(N\)-vortex problem on the sphere ⋮ On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ Stability of regular polygonal relative equilibria on \(\mathbb{S}^2\) ⋮ Influence of annular boundaries on Thomson's vortex polygon stability

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