Nonlinear stability analysis of a regular vortex pentagon outside a circle

DOI10.1134/S1560354712050024zbMath1252.76017OpenAlexW2029526956MaRDI QIDQ1760044

Leonid G. Kurakin, Irina V. Ostrovskaya

Publication date: 12 November 2012

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

Full work available at URL: https://doi.org/10.1134/s1560354712050024

zbMATH Keywords

stabilityresonancepoint vorticesstationary motion

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Stability of solutions to ordinary differential equations (34D20) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (10)

Parametric instability of a many point-vortex system in a multi-layer flow under linear deformation ⋮ On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ A survey of the stability criteria of Thomson's vortex polygons outside a circular domain ⋮ On the influence of circulation on the linear stability of a system of a moving cylinder and two identical parallel vortex filaments ⋮ On the stability of a system of two identical point vortices and a cylinder ⋮ On the Stability of the Orbit and the Invariant Set of Thomson’s Vortex Polygon in a Two-Fluid Plasma ⋮ On stability of thomson's vortex \(N\)-gon in the geostrophic model of the point Bessel vortices ⋮ Influence of annular boundaries on Thomson's vortex polygon stability ⋮ Three-dimensional quasi-geostrophic staggered vortex arrays ⋮ On stability of the Thomson's vortex \(N\)-gon in the geostrophic model of the point vortices in two-layer fluid

Cites Work

• The stability of the steady rotation of a system of three equidistant vortices outside a circle
• Vector-valued sums of independent functions in rearrangement invariant spaces
• On the stability of Thomson's vortex configurations inside a circular domain
• On stability of a regular vortex polygon in the circular domain
• The stability of stationary rotation of a regular vortex polygon
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