Remarks on equilibria of two-dimensional uniform vortices with polygonal symmetry

DOI10.1016/j.euromechflu.2020.03.006zbMath1473.76014OpenAlexW3015511473MaRDI QIDQ2022843

Giorgio Riccardi

Publication date: 30 April 2021

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2020.03.006

zbMATH Keywords

Schwarz functionrotating vortexexternal singularityKirchhoff elliptic vortexvortex equilibrium

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (3)

On the mother bodies of steady polygonal uniform vortices. Part I: numerical experiments ⋮ The fundamental solutions of the curve shortening problem via the Schwarz function ⋮ Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations

Cites Work

• Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results
• Motions of vortex patches
• Steady-State Solutions of the Euler Equations in Two Dimensions II. Local Analysis of Limiting V-States
• Vortex Dynamics
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