Unbalanced instabilities of rapidly rotating stratified shear flows

DOI10.1017/S002211200700643XzbMath1165.76334arXivphysics/0611054MaRDI QIDQ5757185

Jacques Vanneste, Irad Yavneh

Publication date: 6 September 2007

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

Full work available at URL: https://arxiv.org/abs/physics/0611054

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Rotation in hydrodynamic stability (76E07) Stratification effects in inviscid fluids (76B70)

Related Items (17)

Ageostrophic instabilities of fronts in a channel in a stratified rotating fluid ⋮ Elliptical instability of a rapidly rotating, strongly stratified fluid ⋮ Radiative instability in stratified vortices ⋮ Instability of a periodic flow in geostrophic and hydrostatic balance ⋮ The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories ⋮ The linear instability of the stratified plane Couette flow ⋮ Coastal imbalance: generation of oceanic Kelvin waves by atmospheric perturbations ⋮ Viscous stability properties of a Lamb–Oseen vortex in a stratified fluid ⋮ The stably stratified Taylor–Couette flow is always unstable except for solid-body rotation ⋮ Strato-rotational instability without resonance ⋮ Lack of balance in continuously stratified rotating flows ⋮ Inertia–gravity waves in inertially stable and unstable shear flows ⋮ Inertia–gravity-wave radiation by a sheared vortex ⋮ Nonlinear dynamics of forced baroclinic critical layers II ⋮ Radiative instability of an anticyclonic vortex in a stratified rotating fluid ⋮ Ageostrophic instability in a rotating stratified interior jet ⋮ Inertio–elastic instability of a vortex column

Cites Work

• Ageostrophic, anticyclonic instability of a geostrophic, barotropic boundary current
• General stability conditions for zonal flows in a one-layer model on the β-plane or the sphere
• The dynamical stability of differentially rotating discs - III
• Linear stability of symplectic maps
• Physics of modes in a differentially rotating system - analysis of the shearing sheet
• Rossby-Kelvin instability: a new type of ageostrophic instability caused by a resonance between Rossby waves and gravity waves
• Stability of rotating shear flows in shallow water
• The role of negative energy waves in some instabilities of parallel flows
• Shear instability in shallow water
• Lateral boundary contributions to wave-activity invariants and nonlinear stability theorems for balanced dynamics
• Hydrodynamic stability in accretion disks under the combined influence of shear and density stratification
• The instability of an axisymmetric vortex with monotonic potential vorticity in rotating shallow water
• Instability of a shallow-water potential-vorticity front

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