On Nonlinear Stability Theorems of 3D Quasi-geostrophic Flow
Nonlinear stability criteria for quasi-geostrophic zonally symmetric flow are improved by establishing an optimal Poincard inequality. The inequality is derived by a variational calculation considering the additional invariant of zonal momentum. When applied to the Eady model in a periodic channel w...
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| Veröffentlicht in: | Advances in atmospheric sciences 2006-09, Vol.23 (5), p.809-814 |
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| container_title | Advances in atmospheric sciences |
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| creator | 刘永明 蔡景景 |
| description | Nonlinear stability criteria for quasi-geostrophic zonally symmetric flow are improved by establishing an optimal Poincard inequality. The inequality is derived by a variational calculation considering the additional 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）. |
| doi_str_mv | 10.1007/s00376-006-0809-4 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0256-1530 |
| ispartof | Advances in atmospheric sciences, 2006-09, Vol.23 (5), p.809-814 |
| issn | 0256-1530 1861-9533 |
| language | eng |
| recordid | cdi_wanfang_journals_dqkxjz_e200605016 |
| source | Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings |
| subjects | Atmospheric sciences Nonlinear equations Studies 三维模型 地转风 稳定性 |
| title | On Nonlinear Stability Theorems of 3D Quasi-geostrophic Flow |
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