Existence, Stability, and Symmetry of Relative Equilibria with a Dominant Vortex

DOI10.1137/15M1036403zbMath1396.70021arXiv1508.07520MaRDI QIDQ2826311

Anna M. Barry, Alanna Hoyer-Leitzel

Publication date: 14 October 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07520

zbMATH Keywords

symmetrystabilityrelative equilibriaHamiltonian systems\(n\)-vortex problem

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Celestial mechanics (70F15) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (2)

Existence and Stability of Four-Vortex Collinear Relative Equilibria with Three Equal Vorticities ⋮ Symmetry and Asymmetry in the $1+N$ Coorbital Problem

Cites Work

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• Vortices and localization in Euler flows
• Central configurations of the planar \(1+N\) body problem
• LINEAR STABILITY IN THE 1 + N-GON RELATIVE EQUILIBRIUM
• Stability of Relative Equilibria in the Planar $n$-Vortex Problem
• Experiments on two-dimensional vortex patterns
• Generating functions, polynomials and vortices with alternating signs in Bose–Einstein condensates
• Construction of point vortex equilibria via Brownian ratchets
• Algorithms in real algebraic geometry

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