Baroclinic instability of Kirchhoff's elliptic vortex

DOI10.1017/S0022112094000339zbMath0812.76031OpenAlexW2042935697MaRDI QIDQ4304676

Hideshi Hanazaki, T. Miyazaki

Publication date: 31 August 1994

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

Full work available at URL: https://doi.org/10.1017/s0022112094000339

zbMATH Keywords

quasi-geostrophic \(f\)-plane approximation

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Reaction effects in flows (76V05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Bifurcation At Kirchhoff Elliptic vortex with eccentricity, The instability and breakdown of tall columnar vortices in a quasi-geostrophic fluid, An experimental investigation of spin-up from rest of a stratified fluid, Direct simulation of isolated elliptic vortices and of their radiated noise

Cites Work

• Three-dimensional stability of an elliptical vortex in a straining field
• Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows
• The repeated filamentation of two-dimensional vorticity interfaces
• On the instability of geostrophic vortices
• Formal stability of circular vortices
• The instability of short waves on a vortex ring
• The stability of short waves on a straight vortex filament in a weak externally imposed strain field
• The stability of elliptical vortices in an external straining flow
• The disintegration of wave trains on deep water Part 1. Theory