Fluctuation growth and instability associated with a singularity of the balance equations

DOI10.1063/1.869772zbMath1185.76611OpenAlexW2092090775MaRDI QIDQ5755920

James C. McWilliams, Irad Yavneh

Publication date: 15 August 2007

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

Full work available at URL: https://doi.org/10.1063/1.869772

Mathematics Subject Classification ID

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

Related Items (9)

Elliptical instability of a rapidly rotating, strongly stratified fluid ⋮ Submesoscale baroclinic instability in the balance equations ⋮ Ageostrophic, anticyclonic instability of a geostrophic, barotropic boundary current ⋮ Stokes-multiplier expansion in an inhomogeneous differential equation with a small parameter ⋮ The origin of the stationary frontal wave packet spontaneously generated in rotating stratified vortex dipoles ⋮ Inertia–gravity-wave radiation by a sheared vortex ⋮ Parametric instability and wave turbulence driven by tidal excitation of internal waves ⋮ Ageostrophic instability in a rotating stratified interior jet ⋮ Ageostrophic instability in rotating shallow water

Cites Work

• Multigrid solution of rotating, stably stratified flows: The balance equations and their turbulent dynamics
• On the three-dimensional instability of strained vortices
• Evolution of wavelike disturbances in shear flows : a class of exact solutions of the Navier-Stokes equations
• The stability of unbounded two- and three-dimensional flows subject to body forces: some exact solutions
• Local stability conditions in fluid dynamics
• Instability of bounded flows with elliptical streamlines
• Three-dimensional instability of strained vortices in a stably stratified fluid
• Elliptical instability in a stably stratified rotating fluid

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