Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations

DOI10.1134/S1560354721050075zbMath1479.76020OpenAlexW3206248658MaRDI QIDQ2058539

Giorgio Riccardi, David Gerard Dritschel

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/s1560354721050075

zbMATH Keywords

contour dynamicsanalytic continuationSchwarz functiontwo-dimensional vortex dynamicscomplex-variables method

Mathematics Subject Classification ID

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

Related Items

On the mother bodies of steady polygonal uniform vortices. Part I: numerical experiments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analytical study of the self-induced inviscid dynamics of two-dimensional uniform vortices
• Velocity induced by a plane uniform vortex having the Schwarz function of its boundary with two simple poles
• On the evolution of nearly circular vortex patches
• Initial stages of the interaction between uniform and pointwise vortices in an inviscid fluid
• Remarks on equilibria of two-dimensional uniform vortices with polygonal symmetry
• Intrinsic dynamics of the boundary of a two-dimensional uniform vortex
• The elliptical model of two-dimensional vortex dynamics. I: The basic state
• A class of exact multipolar vortices
• Growing vortex patches
• The construction of exact multipolar equilibria of the two-dimensional Euler equations
• Stability analysis of a class of two-dimensional multipolar vortex equilibria
• The stability and energetics of corotating uniform vortices
• The nonlinear evolution of rotating configurations of uniform vorticity
• Exact solutions for rotating vortex arrays with finite-area cores
• Vortex Dynamics