广义Phillips模式非线性不稳定的饱和问题(Ⅰ)——基流不稳定时扰动演变的上界估计

张瑰; 项杰; 李东辉

广义Phillips模式非线性不稳定的饱和问题(Ⅰ)——基流不稳定时扰动演变的上界估计

1.
解放军理工大学理学院数理系, 南京, 211101;
2.
南京003信箱军事气象研究室, 南京, 211101;
3.
解放军理工大学气象学院, 南京, 211101

基金项目: 国家自然科学基金资助项目(40075014)

详细信息

作者简介:
张瑰(1973),女,安徽人,硕士.

中图分类号: P433;0351
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- 被引次数: 0
出版历程
- 收稿日期: 2000-01-16
- 修回日期: 2001-10-29
- 刊出日期: 2002-01-15

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

1.
Department of Mathematics and Physics, Institute of Science, University of Science and technology, P.L.A, Nanjing 211101, P R China;
2.
Department of Meteorology, P.O.Box 003, Nanjing 211101, P R China;
3.
Institute of Meteorology, University of Science and technology, P.L.A, Naning 211101, P R China

摘要

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。
- 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.
- nonlinear saturation /
- baroclinic instability /
- generalized Phillips model /

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参考文献(10)

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