Linear and non-linear instabilities of Kirchhoff’s elliptical vortices

DOI10.1088/1742-5468/aba68bzbMath1459.76031arXiv2004.11492OpenAlexW3020598360MaRDI QIDQ5856878

Calvin A. Fracassi Farias, Yan Levin, Renato Pakter

Publication date: 30 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11492

zbMATH Keywords

statesinstabilitystationarylong-rangeEuler fluidvortex matterKirchhoff vortex

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Vortex flows for incompressible inviscid fluids (76B47) Computational molecular dynamics in statistical mechanics (82M37)

Uses Software

• odeint

Cites Work

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• Generalized Kirchhoff vortices
• The evolution of Kirchhoff elliptic vortices
• Instability, coalescence and fission of finite-area vortex structures
• Contour dynamics for the Euler equations in two dimensions