Nonlinear saturation of baroclinic instability in the generalized Phillips model. I: The upper bound on the evolution of disturbance to the nonlinearly unstable basic flow

DOI10.1007/BF02437733zbMath1016.76034MaRDI QIDQ1611489

Jie Xiang, Gui Zhang, Dong-hui Li

Publication date: 20 August 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

upper boundsnonlinear stabilitypotential enstrophygeneralized Phillips modelArnold's second theoremdisturbance energynonlinear saturation of baroclinic instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Sufficient conditions of Rayleigh-Taylor stability and instability in equatorial ionosphere, Nonlinear saturation of baroclinic instability in the generalized Phillips model. II: The lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow

Cites Work

• Nonlinear stability of multilayer quasi-geostrophic flow