Abstract
This paper continues a series of studies providing stability crite¬ria for quasigeostrophic forced zonal flows in in the presence of lateral diffusion and bottom dissipation of the vertical vorticity. We study the Lyapunov stability of a stationary and longitude independent ba¬sic flow, obtaining linear and nonlinear stability criteria expressed in terms of the maximum shear of the basic flow and/or its meridional derivative, extending some previous results.
Publisher
Academia Oamenilor de Stiinta din Romania
Reference23 articles.
1. [1] K.L. Kuo. Dynamic instability of two dimensional non divergent flow in a barotropic atmosphere. J. Meteor. 6:105-122, 1949.
2. [2] K.L. Kuo. Dynamics of quasigeostrophic flow and instability theory. Adv. Appl. Mech. 13:247-330, 1973.
3. [3] M.C. Hendershott. Single layer models of the general circula- tion.General Circulation of the Ocean. H.D.I. Abarbanel, W. R. Young Eds.,Springer Verlag, 1986.
4. [4] J. Pedlosky. Geophysical Fluid Dynamics. 2d ed. Springer Verlag, New York, 1987.
5. [5] J.R. Holton. An introduction to Dynamical Meteorology, International Geophysics series, 88, Elsevier, U.S.A., 2004.