Point vortex motions with a center of symmetry

DOI10.1063/1.863710zbMath0535.76026OpenAlexW1999706572MaRDI QIDQ3319963

Hassan Aref

Publication date: 1982

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.863710

zbMATH Keywords

exact solutionsaxes of symmetrymany-body problemsdouble alternate ring configurationsbreakdown of vortex street in two-dimensional flowfully nonlinear modemotion of point vortices with center of symmetry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Two-body problems (70F05) Turbulence (76F99)

Related Items (12)

On Aref's vortex motions with a symmetry center ⋮ Interacting two-dimensional vortex structures: Point vortices, contour kinematics and stirring properties ⋮ \(G\)-moving frames and their applications in dynamics ⋮ Advection of a vortex pair atmosphere in a velocity field of point vortices* ⋮ Dynamics of two vortex rings in a Bose-Einstein condensate ⋮ The N -vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria ⋮ Relative periodic solutions of the \(N\)-vortex problem via the variational method ⋮ Relative equilibria of point vortices on the sphere ⋮ Point-vortex cluster formation in the plane and on the sphere: An energy bifurcation condition ⋮ Relative equilibrium and collapse configurations of heterogeneous vortex triple rings ⋮ Construction of point vortex equilibria via Brownian ratchets ⋮ Rotating \(n\)-gon/\(kn\)-gon vortex configurations

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