Relationship between the magnitude of singular value and nonlinear stability  

作　　者：穆穆 郭欢 王佳峰 李勇 

机构地区：[1]LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China [2]Joint Center for Earth System Technology, University of Maryland, USA

出　　处：《Progress in Natural Science:Materials International》2001年第6期476-480,共5页自然科学进展·国际材料（英文版）

基　　金：Project supported by the National Key Basic Research Project "Research on the Formation Mechanism and Prediction Theory of Severe Synoptic Disasters in China" (No. G1998040910), the National Natural Science Foundation of China (Grant No. 49775262 and 498

摘　　要：The relationship between the magnitude of singular value and nonlinear stability or instability of the basic flow is investigated. The results show that there is a good corresponding relationship between them. The magnitude of singular value decreases as the stability (or instability) of the basic flow increases (or decreases). In the stable case, the magnitude of the maximum singular value is much smaller than in the unstable case.The relationship between the magnitude of singular value and nonlinear stability or instability of the basic flow is investigated. The results show that there is a good corresponding relationship between them. The magnitude of singular value decreases as the stability (or instability) of the basic now increases (or decreases). In the stable case, the magnitude of the maximum singular value is much smaller than in the unstable case.

关 键 词：SINGULAR value  NONLINEAR stability  NONLINEAR instability. 

分 类 号：P421[天文地球—大气科学及气象学]