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• W2005213633 abstract "It is shown how large-amplitude stability results for flows governed by potential-vorticity conservation can be obtained by geometric arguments using rearrangements of functions. The method allows for non-smooth solutions, and also gives a framework for the rigorous treatment of the effects of mixing by increasingly fine-scale filamentation. It is, thus, different from the energy-Casimir method. It is applied to the semi-geostrophic shear-flow problem in a channel, where the results can be compared with other methods. It is shown that, under the definitions used, there are no non-zonal nonlinearly-stable states in this problem. In the baroclinic case, it is shown how potential-vorticity conservation reduces the ‘available energy’ for the transient flow. Copyright © 2003 Royal Meteorological Society" @default.
• W2005213633 created "2016-06-24" @default.
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• W2005213633 date "2003-04-16" @default.
• W2005213633 modified "2023-09-23" @default.
• W2005213633 title "Large-amplitude nonlinear stability results for atmospheric circulations" @default.
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• W2005213633 doi "https://doi.org/10.1256/qj.01.196" @default.
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