Two-layer quasi-geostrophic singular vortices embedded in a regular flow. Part 1. Invariants of motion and stability of vortex pairs

DOI10.1017/S0022112007006386zbMath1118.76070MaRDI QIDQ5757177

Ziv Kizner, Gregory Reznik

Publication date: 6 September 2007

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

conservation integralstwo-layer fluidbeta-plane

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (12)

Motion and structure of atmospheric mesoscale baroclinic vortices: dry air and weak environmental shear ⋮ On the stability of two-layer geostrophic point-vortex multipoles ⋮ Dynamics of localized vortices on the beta plane ⋮ Resonance phenomena in a two-layer two-vortex shear flow ⋮ Acceleration and ejection of interacting ring vortices by radial flow ⋮ Irregular mixing due to a vortex pair interacting with a fixed vortex ⋮ Singular vortices in regular flows ⋮ RBF-vortex methods for the barotropic vorticity equation on a sphere ⋮ Monopoles in a uniform zonal flow on a quasi-geostrophic -plane: effects of the Galilean non-invariance of the rotating shallow-water equations ⋮ Stability of point-vortex multipoles revisited ⋮ Group scattering of point vortices on an unbounded plane ⋮ Point-vortex dynamics in three-dimensional ageostrophic balanced flows

Cites Work

• Dynamics of heton-like vortices
• Dynamics of triangular two-layer vortex structures with zero total intensity
• Dynamics of three vortices in a two-layer rotating fluid
• A modulated point-vortex model for geostrophic, β-plane dynamics
• Some interactions between small numbers of baroclinic, geostrophic vortices
• A point vortex dipole model of an isolated modon
• Dynamics of singular vortices on a beta-plane
• Collision of dipolar vortices on a β plane
• The theory of quasi-geostrophic von Kármán vortex streets in two-layer fluids on a beta-plane
• Baroclinic modon equilibria on the beta-plane: stability and transitions
• Stability and transitions of hetonic quartets and baroclinic modons
• Four-vortex motion in the two-layer approximation: Integrable case

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