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

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (11): 1339-1347.

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

张瑰¹, 项杰²

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

收稿日期:2001-11-29 修回日期:2002-05-25 出版日期:2002-11-18 发布日期:2002-11-18
基金资助:
the National Natural Science Foundation of China(40075014)

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

Received:2001-11-29 Revised:2002-05-25 Online:2002-11-18 Published:2002-11-18
Supported by:
the National Natural Science Foundation of China(40075014)

摘要/Abstract

摘要： 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 investigatedThe 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

关键词: nonlinear saturation, baroclinic instability, generalized Phillips model, basic flow

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 investigatedThe 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

Key words: nonlinear saturation, baroclinic instability, generalized Phillips model, basic flow

中图分类号:

P433
O351

张瑰;项杰. 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[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(11): 1339-1347.

ZHANG Gui;XIANG Jie. 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[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(11): 1339-1347.

参考文献

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[8] Cho H R, Shepherd T G, Vladimirov V A. Application of the direct Liapunov method to the prob lem of symmetric stability in the atmosphere[J]. Journal of the Atmospheric Sciences, 1993,50(6): 822-834
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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

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

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