一个正压和斜压不稳定的充要条件
投稿时间: 1993-04-03  最后修改时间: 1993-05-21  点此下载全文
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作者单位
陆维松 南京气象学院气象系, 南京210044 
基金项目:国家基础性研究重大关键项目
中文摘要:提出一个新的李雅普诺夫函数,首次得到了正压和斜压不稳定的充要条件,大大改善了熟知的Rayleigh-郭晓岚定理和Fjortoft定理,解决了Rayleish(1880)提出的无粘切变流正压稳定性问题。
中文关键词:李雅普诺夫函数  正压和斜压不稳定  充要条件  广义位涡拟能
 
A SUFFICIENT AND NECESSARY CONDITION FOR BAROTROPIC AND BAROCLINIC INSTABILITY
Abstract:A new Lyapunov function is presented,whereby the sufficient and necessary con-dition of barotropic and baroclinic instability is obtained and thereby the well-known Rayleigh-Kuo’s theorem and Fjortoft theorem are considerably improved,leading to the solu-tion of the barotropic stability problem of inviscid shearing basic flows proposed by Rayleigh(1880).
keywords:Lyapunov function  barotropic and baroclinic instability  sufficient and necessarycondition  generalized enstrophy
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