Zonal Shear Flows with a Free Surface: Hamiltonian Formulation and Linear and Nonlinear Stability
Fluid Dynamics
2007-08-27 v1
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. These results include a generalization of the Flierl-Stern-Whitehead zero angular momentum theorem} for localized nonlinear structures on or off the beta-plane, and sufficient conditions for linear and nonlinear stability in the Liapunov sense - the latter are derived via bounds on the equilibrium potential vorticity gradient.
Cite
@article{arxiv.0708.3383,
title = {Zonal Shear Flows with a Free Surface: Hamiltonian Formulation and Linear and Nonlinear Stability},
author = {B. K. Shivamoggi and G. J. F. van Heijst},
journal= {arXiv preprint arXiv:0708.3383},
year = {2007}
}