On disturbance evolution and nonlinear stability of the multilayer quasi-geostrophic basic flows  

作　　者：宋士吉 刘秦玉 

出　　处：《Science China Earth Sciences》1999年第2期160-171,共12页中国科学（地球科学英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 49776286).

摘　　要：The status of disturbances of both initial values and parameters in the model is further investigated, and the exact explicit estimates on the disturbance energy and disturbance potential enstrophy are given, while the initial disturbance fields depend only on the initial disturbance potential enstrophy, initial disturbance velocity circulation along the boundary, and disturbance parameters. And based on the generalized nonlinear stability concept in the sense of Lyapunov, the nonlinear stability criteria paralleling to Arnold’s second theorem are obtained.The status of disturbances of both initial values and parameters in the model is further investigated, and the exact explicit estimates on the disturbance energy and disturbance potential enstrophy are given, while the initial disturbance fields depend only on the initial disturbance potential enstrophy, initial disturbance velocity circulation along the boundary, and disturbance parameters. And based on the generalized nonlinear stability concept in the sense of Lyapunov, the nonlinear stability criteria paralleling to Arnold's second theorem are obtained.

关 键 词：MULTILAYER QUASI-GEOSTROPHIC motion disturbances of BOTH initial VALUES and parameters nonlinear stability. 

分 类 号：P733[天文地球—物理海洋学]