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Explosive instability of geostrophic vortices. Part 2: parametric instability

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Abstract

In a two-layer quasi-geostrophic model, a baroclinic vortex is submitted to a periodic forcing of its mean baroclinic azimuthal velocity. It is shown that parametric effects could stabilize a vortex which is baroclinically unstable in the absence of forcing. Conversely, parametric resonance can destabilize a baroclinically stable vortex, under conditions on the vortex parameters, on the ratio of layer thicknesses or on the forcing frequency.

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Correspondence to Xavier Carton.

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Communicated by H. Aref

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Carton, X., Meunier, T., Flierl, G.R. et al. Explosive instability of geostrophic vortices. Part 2: parametric instability. Theor. Comput. Fluid Dyn. 24, 131–135 (2010). https://doi.org/10.1007/s00162-009-0139-0

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  • DOI: https://doi.org/10.1007/s00162-009-0139-0

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