Zonal Shear Flows with a Free Surface: Hamiltonian Formulation and Linear and Nonlinear Stability

dc.creatorShivamoggi, B. K.
dc.creatorvan Heijst, G. J. F.
dc.date2007-08-24
dc.date.accessioned2026-07-07T08:25:35Z
dc.date.available2026-07-07T08:25:35Z
dc.descriptionGeneral 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.
dc.identifierhttps://arxiv.org/abs/0708.3383
dc.identifierhttp://arxiv.org/abs/0708.3383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136670
dc.subjectFluid Dynamics
dc.titleZonal Shear Flows with a Free Surface: Hamiltonian Formulation and Linear and Nonlinear Stability
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