Relative equilibrium and collapse configurations of four point vortices
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Publication:655248
DOI10.1134/S1560354707020013zbMath1229.76024OpenAlexW2024864531MaRDI QIDQ655248
Publication date: 3 January 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354707020013
Vortex flows for incompressible inviscid fluids (76B47) (n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)
Related Items (13)
Generalized Hermite polynomials for the Burgers hierarchy and point vortices ⋮ Self-similar motions and related relative equilibria in the \(N\)-point vortex system ⋮ Bilinear relative equilibria of identical point vortices ⋮ Symmetry of planar four-body convex central configurations ⋮ Finiteness of stationary configurations of the planar four-vortex problem ⋮ Relative periodic solutions of the \(N\)-vortex problem via the variational method ⋮ Finite-time collapse of three point vortices in the plane ⋮ Stationary configurations of point vortices on a cylinder ⋮ Relative equilibrium and collapse configurations of heterogeneous vortex triple rings ⋮ Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations ⋮ Point vortices and classical orthogonal polynomials ⋮ Self-similar motion of three point vortices ⋮ Collapse and concentration of vortex sheets in two-dimensional flow
Uses Software
Cites Work
- Finiteness of relative equilibria of the four-body problem
- A continuum of relative equilibria in the five-body problem
- Minimal polynomial systems for point vortex equilibria
- Vortex triple rings
- Finiteness of stationary configurations of the four-vortex problem
- Stationary Configurations of Point Vortices
- Relative equilibria of vortices in two dimensions
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