广义Phillips模式非线性不稳定的饱和问题(Ⅱ)——扰动能量及位涡拟能的下界估计

张瑰; 项杰

广义Phillips模式非线性不稳定的饱和问题(Ⅱ)——扰动能量及位涡拟能的下界估计

张瑰¹,
项杰²

1.
解放军理工大学, 理学院, 数理系, 南京, 211101;
2.
南京003信箱, 军事气象系, 南京, 211101

基金项目: 国家自然科学基金资助项目(40075014);解放军理工大学理学院青年科研经费资助项目

详细信息

作者简介:
张瑰(1973- ),女,安徽人,博士.

中图分类号: P433;O351
计量
- 文章访问数: 1956
- HTML全文浏览量: 26
- PDF下载量: 723
- 被引次数: 0
出版历程
- 收稿日期: 2001-11-29
- 修回日期: 2002-05-25
- 刊出日期: 2002-11-15

Nonlinear Saturation of Baroclinic Instability in the Generalized Phillips Model(Ⅱ)-The Lower Bound on the Disturbance Energy and Potential Enstrophy to the Nonlinearly Unstable Basic Flow

ZHANG Gui¹,
XIANG Jie²

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

摘要

摘要: 在Arnol'd第二定理的范围内进一步讨论广义Phillips模式非线性不稳定的饱和问题,得到了基流不稳定时扰动能量及位涡拟能的下界估计。
- 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'd's second theorem for the generalized Phillips model,nonlinear saturation of baroclinic instability in the generalized Phillips model is investigated.The lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model is presented,which indicates that there may exist an allocation between a nonlinearly unstable basic flow and a growing disturbance.
- nonlinear saturation /
- baroclinic instability /
- generalized Phillips model /
- basic flow

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参考文献(11)

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[11]	XIANG Jie,MU Mu.Lower bound of disturbances for the nonlinearly unstable basic flow in the phillips model[A].In:CHINE Wei-zang, Ed.Proceeding of the Third International Conference on Nonlinear Mechanics[C].Shanghai,1998:548-553.