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On Nonlinear Stability Theorems of 3D Quasi-geostrophic Flow

Keywords: 3D-Quasi-geostrophic flow,Nonlinear stability,Eady model
地转风
,稳定性,大气,三维模型

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Abstract:

Nonlinear stability criteria for quasi-geostrophic zonally symmetric flow are improved by establishing an invariant of zonal momentum. When applied to the Eady model in a periodic channel with finite zonal length, the improved nonlinear stability criterion is identical to the linear normal-mode stability criterion provided the channel meridional width is no greater than 0.8605... times its channel length (which is the geophysically relevant case).

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