Nonlinear stability of continuously stratified quasi-geostrophic flow

DOI10.1017/S002211209600818XzbMath0883.76042OpenAlexW1980324785MaRDI QIDQ4354524

Theodore G. Shepherd, Mu Mu, Yong-Ming Liu

Publication date: 17 September 1997

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

Full work available at URL: https://doi.org/10.1017/s002211209600818x

zbMATH Keywords

Lyapunov stabilityhydrostatic compressibilityArnol'd's second stability theoremdisturbance potential enstrophymodified quasi-geostrophic modelstandard quasi-geostrophic modelupper bounds on disturbance energy

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Nonlinear effects in hydrodynamic stability (76E30) Meteorology and atmospheric physics (86A10) Reaction effects in flows (76V05)

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Cites Work

• Nonlinear stability of fluid and plasma equilibria
• A nonlinear stability theorem for baroclinic quasigeostrophic flow
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• Rigorous bounds on the nonlinear saturation of instabilities to parallel shear flows
• Nonlinear stability criteria for the motion of three-dimensional quasigeostrophic flow on a beta -plane
• Nonlinear stability of multilayer quasi-geostrophic flow
• Explosive resonant interaction of baroclinic Rossby waves and stability of multilayer quasi-geostrophic flow
• Nonlinear symmetric stability of planetary atmospheres