The topology of reduced phase spaces of the motion of vortices on a sphere

DOI10.1016/0167-2789(88)90100-5zbMath0653.58009OpenAlexW1968357524MaRDI QIDQ1107886

Frances C. Kirwan

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90100-5

zbMATH Keywords

Hamiltonian flowsvortex motionBogomolov's model

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices, Shape dynamics of N point vortices on the sphere, Vortices on Closed Surfaces, Reduced spaces and their relation to relative equilibria, Continuous symmetry reduction and return maps for high-dimensional flows, Motion of three point vortices on a sphere, Relative equilibria of point vortices on the sphere, Point vortex motion on a sphere with solid boundaries, Point vortices on a sphere: Stability of relative equilibria, Generalized point vortex dynamics on \(\mathbb{CP}^2\), Rotating \(n\)-gon/\(kn\)-gon vortex configurations, Symmetry, invariants, topology. Basic tools

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Aref's vortex motions with a symmetry center
• Central configurations of the N-body problem via equivariant Morse theory
• Supersymmetry and Morse theory
• Convexity properties of the moment mapping
• Reduction of symplectic manifolds with symmetry
• Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional Flows
• Convexity and Commuting Hamiltonians
• The Yang-Mills equations over Riemann surfaces