On stability of thomson's vortex \(N\)-gon in the geostrophic model of the point Bessel vortices

DOI10.1134/S1560354717070085zbMath1401.76037OpenAlexW2794323272WikidataQ130203829 ScholiaQ130203829MaRDI QIDQ1795457

Leonid G. Kurakin, Irina V. Ostrovskaya

Publication date: 16 October 2018

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

Full work available at URL: https://doi.org/10.1134/s1560354717070085

zbMATH Keywords

stabilityHamiltonian dynamics\(N\)-vortex problempoint Bessel vortices

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Stability of solutions to ordinary differential equations (34D20) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Circular vortex arrays in generalised Euler's and quasi-geostrophic dynamics ⋮ 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 Thomson’s Vortex $N$-gon and a Vortex Tripole/Quadrupole in Geostrophic Models of Bessel Vortices and in a Two-Layer Rotating Fluid: a Review ⋮ On the Stability of the Orbit and the Invariant Set of Thomson’s Vortex Polygon in a Two-Fluid Plasma ⋮ Ring configurations of point vortices in polar atmospheres ⋮ Three-dimensional quasi-geostrophic staggered vortex arrays ⋮ Resonances in the stability problem of a point vortex quadrupole on a plane ⋮ On stability of the Thomson's vortex \(N\)-gon in the geostrophic model of the point vortices in two-layer fluid ⋮ Motion of three geostrophic Bessel vortices

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