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On nonlinear stability theorems of 3D quasi-geostrophic flow |
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| Authors: | Yongming Liu Jingjing Cai |
| Affiliation: | Key Laboratory of Geographic Information Science, Ministry of Education, East China Normal University, Shanghai 200062, State Key Laboratory of Numerical Modeling for Atmospherics Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics,,Department of Mathematics, East China Normal University, Shanghai 200062 |
| 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). |
| Keywords: | 3D-Quasi-geostrophic flow Nonlinear stability Eady model |
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