Stability of the rhombus vortex problem with a central vortex

DOI10.1007/s10884-019-09805-7zbMath1454.37085OpenAlexW2985577219WikidataQ126855949 ScholiaQ126855949MaRDI QIDQ2211299

Allyson Oliveira, Claudio Vidal

Publication date: 11 November 2020

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-019-09805-7

zbMATH Keywords

Hamiltonian systemsspectral stabilityfive-vortex problem on plane

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Stability for nonlinear problems in mechanics (70K20) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (2)

Symmetry and Asymmetry in the $1+N$ Coorbital Problem ⋮ Equilateral chains and cyclic central configurations of the planar five-body problem

Cites Work

• Relative equilibria in the four-vortex problem with two pairs of equal vorticities
• Mathematical theory of incompressible nonviscous fluids
• A continuum of relative equilibria in the five-body problem
• Non-integrability of the 4-vortex system: Analytical proof
• Qualitative theory of planar differential systems
• Stability of Relative Equilibria in the Planar $n$-Vortex Problem
• Point vortex dynamics: A classical mathematics playground
• The vortex dynamics analogue of the restricted three-body problem: advection in the field of three identical point vortices
• Trapping of passive tracers in a point vortex system
• On the equilibrium and stability of a row of point vortices
• Stability of Relative Equilibria in the Problem of N+1 Vortices
• Dynamics of a passive tracer in a velocity field of four identical point vortices
• Stability of relative equilibria of three vortices
• On The Motion of Three Vortices
• The \(N\)-vortex problem. Analytical techniques
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability of the rhombus vortex problem with a central vortex