Title

Zonal shear flows with a free surface: Hamiltonian formulation and linear and nonlinear stability

Authors

Authors

B. K. Shivamoggi;G. J. F. van Heijst

Comments

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Abstract

General theoretical results via a Hamiltonian formulation are developed for zonal shear flows with the inclusion of the vortex stretching effect of the deformed free surface (equivalent barotropic model). These results include a generalization of the Flierl-Stern-Whitehead zero angular momentum theorem for localized nonlinear structures (whether or not on a beta-plane), and sufficient conditions for linear and nonlinear stability in the Liapunov sense - the latter are given as estimates in terms of an L(2)-type perturbation norm which are global in time and are derived via bounds on the equilibrium potential vorticity gradient.

Journal Title

Geophysical and Astrophysical Fluid Dynamics

Volume

103

Issue/Number

4

Publication Date

1-1-2009

Document Type

Article

First Page

293

Last Page

301

WOS Identifier

WOS:000269450300002

ISSN

0309-1929

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