On the stability of two-layer geostrophic point-vortex multipoles

DOI10.1063/1.4870239zbMath1321.76028OpenAlexW1986950808MaRDI QIDQ2947714

Ziv Kizner

Publication date: 28 September 2015

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4870239

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Multiphase and multicomponent flows (76T99) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ Two-layer geostrophic tripoles comprised by patches of uniform potential vorticity ⋮ Dynamics of two vortex rings in a Bose-Einstein condensate ⋮ Global chaotization of fluid particle trajectories in a sheared two-layer two-vortex flow ⋮ Transitions and oscillatory regimes in two-layer geostrophic hetons and tripoles ⋮ 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 ⋮ Resonance phenomena in a two-layer two-vortex shear flow ⋮ Three-dimensional quasi-geostrophic vortex equilibria with -fold symmetry ⋮ Three-dimensional quasi-geostrophic staggered vortex arrays ⋮ Resonances in the stability problem of a point vortex quadrupole on a plane ⋮ Group scattering of point vortices on an unbounded plane

Cites Work

• Unnamed Item
• Dynamics of heton-like vortices
• Hetonic Quartet: Exploring the Transitions in Baroclinic Modons
• On the Motion of A + 1 Vortices in a Two-Layer Rotating Fluid
• Point vortex dynamics: A classical mathematics playground
• Four-vortex motion with zero total circulation and impulse
• The heton, an elementary interaction between discrete baroclinic geostrophic vortices, and its implications concerning eddy heat-flow
• Integrable four vortex motion
• The theory of quasi-geostrophic von Kármán vortex streets in two-layer fluids on a beta-plane
• Stability of point-vortex multipoles revisited
• Stability of relative equilibria of three vortices
• The stability of stationary rotation of a regular vortex polygon
• Stability and transitions of hetonic quartets and baroclinic modons
• Two-layer quasi-geostrophic singular vortices embedded in a regular flow. Part 1. Invariants of motion and stability of vortex pairs
• The \(N\)-vortex problem. Analytical techniques