Polynomial sequences related to point vortex equilibria with three strengths

DOI10.1016/j.physd.2023.133877OpenAlexW4385497914MaRDI QIDQ6090630

Nicholas Cox-Steib, Kevin A. O'Neil

Publication date: 17 November 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2023.133877

zbMATH Keywords

equilibriumpoint vortexpolynomial methodAdler-Moser polynomialLoutsenko polynomial

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Other special orthogonal polynomials and functions (33C47) Vortex methods applied to problems in fluid mechanics (76M23)

Cites Work

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• Vortices and Polynomials
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
• Equilibrium of charges and differential equations solved by polynomials
• A transformation between stationary point vortex equilibria
• Stationary states of identical point vortices and vortex foam on the sphere
• An explicit characterization of Calogero–Moser systems

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