Title

Zonal Shear Flows With A Free Surface: Hamiltonian Formulation And Linear And Nonlinear Stability

Keywords

Hamiltonian formulation; Stability; Zonal shear flows

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 β-plane), and sufficient conditions for linear and nonlinear stability in the Liapunov sense - the latter are given as estimates in terms of an L2-type perturbation norm which are global in time and are derived via bounds on the equilibrium potential vorticity gradient. © 2009 Taylor & Francis.

Publication Date

8-1-2009

Publication Title

Geophysical and Astrophysical Fluid Dynamics

Volume

103

Issue

4

Number of Pages

293-301

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/03091920902992133

Socpus ID

74749107724 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/74749107724

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