Nonlinear Saturation of Baroclinic Instability in the Generalized Phillips Model (Ⅰ)—the Upper Bound on the Evolution of Disturbance to the Nonlinearly Unstable Basic Flow
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摘要: 在Arnd'd第二定理的范围内讨论广义Phillips模式非线性不稳定的饱和问题,对于因模式的物理参数与区域的几何参数不满足稳定判据而导致的不稳定基流,得到扰动能量与位涡拟能的上界估计。
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关键词:
- 广义Phillips模式 /
- 非线性不稳定 /
- 饱和问题 /
- 基流
Abstract: On the basis of the nonlinear stability theorem in the context of Arnol's second theorem for the generalized Phillips model,nonlinear saturation of baroclinic instability in the generalized Phillips model is investigated.By choosing appropriate artificial stable basic flows,the upper bounds on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model are obtained,which are analytic completely and without the limitation of infinitesimal initial disturbance.-
Key words:
- nonlinear saturation /
- baroclinic instability /
- generalized Phillips model /
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