Generalized Adler-Moser and Loutsenko polynomials for point vortex equilibria

DOI10.1134/S1560354714050013zbMath1308.76053OpenAlexW2086006282MaRDI QIDQ2513991

Kevin A. O'Neil, Nicholas Cox-Steib

Publication date: 29 January 2015

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

Full work available at URL: https://doi.org/10.1134/s1560354714050013

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 (10)

Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows ⋮ Point vortex equilibria related to Bessel polynomials ⋮ Exploring circulations yielding no vortex equilibria ⋮ Negative Pell equation and stationary configurations of point vortices on the plane ⋮ Polynomial sequences related to point vortex equilibria with three strengths ⋮ Multivortex Traveling Waves for the Gross--Pitaevskii Equation and the Adler--Moser Polynomials ⋮ Relations satisfied by point vortex equilibria with strength ratio $-2$ ⋮ On the problem of falling motion of a circular cylinder and a vortex pair in a perfect fluid ⋮ Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation ⋮ The correlation coefficient for vortices in the plane

Cites Work

• Relative equilibrium configurations of point vortices on a sphere
• Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations
• On a class of polynomials connected with the Korteweg-de Vries equation
• Integrable dynamics of charges related to the bilinear hypergeometric equation
• Minimal polynomial systems for point vortex equilibria
• Vortices and polynomials: non-uniqueness of the Adler–Moser polynomials for the Tkachenko equation
• Relative equilibria of point vortices that lie on a great circle of a sphere
• Vortices and Polynomials
• Equilibrium of charges and differential equations solved by polynomials

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