On stability of the Thomson's vortex \(N\)-gon in the geostrophic model of the point vortices in two-layer fluid

DOI10.1007/s00332-018-9526-2zbMath1423.76076OpenAlexW2903605267MaRDI QIDQ2327818

Irina V. Ostrovskaya, Mikhail A. Sokolovskiy, Leonid G. Kurakin, Irina A. Lysenko

Publication date: 8 October 2019

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-018-9526-2

zbMATH Keywords

stabilityHamiltonian dynamicspoint vortices\(N\)-vortex problemtwo-layer fluid

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 (5)

Dynamics of two vortex rings in a Bose-Einstein condensate ⋮ 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 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 ⋮ Motion of three geostrophic Bessel vortices

Cites Work

• 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
• Dynamics of vortex structures in a stratified rotating fluid. Translated from Russian by Gennady N. Krichivets and Olga I. Yakovenko
• Nonlinear stability analysis of a regular vortex pentagon outside a circle
• On stability of thomson's vortex \(N\)-gon in the geostrophic model of the point Bessel vortices
• Vortex Dynamics
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• The stability of stationary rotation of a regular vortex polygon
• Periodic properties of the semi-permanent atmospheric pressure systems
• Hydrodynamic problems arising from the investigation of the transverse circulation in the atmosphere
• The \(N\)-vortex problem. Analytical techniques
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