Nonlinear Stability of the Generalized Eady Model
Nonlinear Stability of the Generalized Eady Model
复制标题
广义Eady模型的非线性稳定性
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
M. Mu
中科院分区：
文献类型：
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作者：
Yongming Liu;M. Mu
摘要分别用简正模方法和能量Casimir方法得到了广义Eady模型的线性和非线性稳定性定理。非线性稳定性准则在以下意义下是最优的：如果它被破坏，那么总是存在一个有限周期带状通道，其中存在一个指数增长的正常模式。结果表明，当且仅当模型中考虑β效应时，“长波截止”现象才存在，而“短波截止”现象在f平面和β平面上都存在.
Abstract Linear and nonlinear stability theorems for the generalized Eady model are obtained by the normal-mode method and the energy–Casimir method, respectively. The nonlinear stability criterion is optimal in the following sense: if it is destroyed, then there always exists a finite periodic zonal channel in which there is an exponentially growing normal mode. The theorems show that the “long-wave cutoff” phenomenon exists if and only if the β effect is considered in the model, and the “short-wave cutoff” phenomenon always exists both on an f plane and on a β plane.