Dynamics of restricted three and four vortices problem on the plane

DOI10.1063/1.4943901zbMath1338.76011OpenAlexW2318157814WikidataQ57569603 ScholiaQ57569603MaRDI QIDQ2804975

Claudio Vidal, Stefanella Boatto, Jaime Andrade

Publication date: 9 May 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4943901

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items (5)

Numbers of relative equilibria in the planar four-vortex problem: some special cases ⋮ Global Phase Diagrams of Three Point Vortices ⋮ Global dynamics in a restricted five vortices problem on the plane ⋮ Dynamics and bifurcation of passive tracers advected by a ring of point vortices on a sphere ⋮ Dynamics of two moving vortices in the presence of a fixed vortex

Cites Work

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• Mathematical theory of incompressible nonviscous fluids
• Non-integrability of the 4-vortex system: Analytical proof
• Qualitative theory of planar differential systems
• 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
• Dynamics of a passive tracer in a velocity field of four identical point vortices
• Stability of relative equilibria of three vortices
• The \(N\)-vortex problem. Analytical techniques

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