Point vortex equilibria related to Bessel polynomials

DOI10.1134/S1560354716030011zbMath1346.76022OpenAlexW2412540984MaRDI QIDQ309091

Kevin A. O'Neil

Publication date: 7 September 2016

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

Full work available at URL: https://doi.org/10.1134/s1560354716030011

zbMATH Keywords

equilibriumpoint vortexpolynomial method

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (2)

A constructive proof for the Umemura polynomials of the third Painlevé equation ⋮ Relations satisfied by point vortex equilibria with strength ratio $-2$

Cites Work

• Unnamed Item
• Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations
• Bessel polynomials
• Bilinear relative equilibria of identical point vortices
• Minimal polynomial systems for point vortex equilibria
• Generalized Adler-Moser and Loutsenko polynomials for point vortex equilibria
• Vortices and polynomials: non-uniqueness of the Adler–Moser polynomials for the Tkachenko equation
• Vortices and Polynomials

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