Arnol＇d＇s　Second　Nonlinear　Stability　Theorem　for　General　Multilayer　Quasi－geostrophic　Model  

作　　者：刘永明 穆穆 

出　　处：《Advances in Atmospheric Sciences》1994年第1期36-42,共7页大气科学进展（英文版）

摘　　要：Arnol'd's second nonlinear stability criterion for motions governed by a general multilayer quasi-geostrophic model is established. The model allows arbitrary density jumps and layer thickness, and at the top and the bottom of the nuid, the boundary condition is either free or rigid. The criterion is obtained by the establishment of the upper bounds of disturbance energy and potential enstrophy in terms of the initial disturbance field.Arnol'd's second nonlinear stability criterion for motions governed by a general multilayer quasi-geostrophic model is established. The model allows arbitrary density jumps and layer thickness, and at the top and the bottom of the nuid, the boundary condition is either free or rigid. The criterion is obtained by the establishment of the upper bounds of disturbance energy and potential enstrophy in terms of the initial disturbance field.

关 键 词：Nonlinear stability Multi-layer Q-G model 

分 类 号：P433[天文地球—大气科学及气象学]