Something old, something new: three point vortices on the plane

DOI10.1134/S1560354721050038zbMath1484.37050OpenAlexW3205744065MaRDI QIDQ2058534

Mark A. Stremler

Publication date: 9 December 2021

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354721050038

zbMATH Keywords

vortex dynamicspotential flowpoint vorticesthree-vortex problem

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Three-body problems (70F07) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Flows on surfaces (37E35)

Cites Work

• Unnamed Item
• Three-vortex motion with zero total circulation: Addendum
• Dynamics and statics of vortices on a plane and a sphere. I
• Dynamics of three vortices on a plane and a sphere. II: General compact case
• Finite-time collapse of three point vortices in the plane
• Point vortex dynamics: A classical mathematics playground
• A transformation of the point vortex equations
• Motion of three vortices
• Stability of relative equilibria of three vortices
• On The Motion of Three Vortices
• Group scattering of point vortices on an unbounded plane
• The \(N\)-vortex problem. Analytical techniques

This page was built for publication: Something old, something new: three point vortices on the plane