| 一个正压和斜压不稳定的充要条件 |
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| 引用本文： | 陆维松.一个正压和斜压不稳定的充要条件[J].南京气象学院学报,1994,17(2):135-140. |
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| 作者姓名： | 陆维松 |
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| 作者单位： | 南京气象学院气象系 |
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| 基金项目： | 国家基础性研究重大关键项目 |
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| 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，大大改善了热知的Ｒａｙｌｅｉｇｈ－郭晓岚定理和Ｆｊｏｒｔｏｆｔ定理，解决了Ｒａｙｌｅｉｇｈ（１８８０）提出的无粘切变流正压稳定性问题。
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| 关 键 词： | 正压不稳定 斜压不稳定 大气运动 |
A SUFFICIENT AND NECESSARY CONDITION FOR BAROTROPIC AND BAROCLINIC INSTABILITY |
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| Lu Weisong.A SUFFICIENT AND NECESSARY CONDITION FOR BAROTROPIC AND BAROCLINIC INSTABILITY[J].Journal of Nanjing Institute of Meteorology,1994,17(2):135-140. |
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| Authors: | Lu Weisong |
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| 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-knownRayleigh-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). |
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| Keywords: | Lyapunov function barotropic and baroclinic instability sufficient and necessarycondition generalized enstrophy |
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