Zonal Shear Flows with a Free Surface: Hamiltonian Formulation and Linear and Nonlinear Stability
نویسندگان
چکیده
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 β-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. ∗Permanent Address: University of Central Florida, Orlando, FL 32816-1364
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تاریخ انتشار 2008