Relative equilibrium configurations of point vortices on a sphere

DOI10.1134/S1560354713040023zbMath1274.76178OpenAlexW2089465486MaRDI QIDQ381021

Maria V. Demina, Nikolay A. Kudryashov

Publication date: 15 November 2013

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

Full work available at URL: https://doi.org/10.1134/s1560354713040023

zbMATH Keywords

spherepoint vorticesplatonic solidsfixed equilibriumrelative equilibrium

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) (n)-body problems (70F10)

Related Items (4)

Multi-particle dynamical systems and polynomials ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ Polynomial sequences related to point vortex equilibria with three strengths ⋮ Generalized Adler-Moser and Loutsenko polynomials for point vortex equilibria

Cites Work

• Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations
• Dynamics and statics of vortices on a plane and a sphere. I
• Point vortices and classical orthogonal polynomials
• Motion of three point vortices on a sphere
• Minimal polynomial systems for point vortex equilibria
• Point vortices on the sphere: a case with opposite vorticities
• Vortices and polynomials: non-uniqueness of the Adler–Moser polynomials for the Tkachenko equation
• Dynamics of Two Rings of Vortices on a Sphere
• Relative equilibria of point vortices and the fundamental theorem of algebra
• The N -vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria
• Stability of Thomson's configurations of vortices on a sphere
• The \(N\)-vortex problem. Analytical techniques

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