Vortices and polynomials

DOI10.1016/j.fluiddyn.2006.04.004zbMath1136.76012OpenAlexW2085366798MaRDI QIDQ3498803

Hassan Aref

Publication date: 16 May 2008

Published in: Fluid Dynamics Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fluiddyn.2006.04.004

zbMATH Keywords

stagnation pointsvortex equilibriaAdler-Moser polynomials

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (18)

A note on the energy of relative equilibria of point vortices ⋮ A survey of the stability criteria of Thomson's vortex polygons outside a circular domain ⋮ Generalized Hermite polynomials for the Burgers hierarchy and point vortices ⋮ Relative equilibria in the four-vortex problem with two pairs of equal vorticities ⋮ Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ Negative Pell equation and stationary configurations of point vortices on the plane ⋮ Screw motion invariant minimal surfaces from gluing helicoids ⋮ Multivortex Traveling Waves for the Gross--Pitaevskii Equation and the Adler--Moser Polynomials ⋮ On some configurations of oppositely charged trapped vortices in the plane ⋮ Self-similar collapse of \(n\) point vortices ⋮ Stationary configurations of point vortices on a cylinder ⋮ Relations satisfied by point vortex equilibria with strength ratio $-2$ ⋮ The Symmetric Fourth Painlevé Hierarchy and Associated Special Polynomials ⋮ Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations ⋮ Point vortices and classical orthogonal polynomials ⋮ Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation ⋮ Relative equilibria of point vortices and the fundamental theorem of algebra ⋮ RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION

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