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 Gui; XIANG Jie

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(11): 1195-1202

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, 2002, 23(11): 1195-1202.

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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

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 Date: 2001-11-29
Rev Recd Date: 2002-05-25
Publish Date: 2002-11-15

Abstract

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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References(11)

References

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