Arnol’d’s Second Nonlinear Stability Theorem for General Multilayer Quasi-geostrophic Model

Liu Yongming; Mu Mu

doi:10.1007/BF02656991

Impact Factor: 5.8

Volume 11 Issue 1

Jan. 1994

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Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1994 > 11(1): 36-42

Arnol’d’s Second Nonlinear Stability Theorem for General Multilayer Quasi-geostrophic Model

Liu Yongming,
Mu Mu

1.
Institute of Mathematics, Anhui University, Hefei 230039,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080

Liu Yongming,
Mu Mu

doi: 10.1007/BF02656991

Abstract
References
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Abstract:
Arnol’d’s second nonlinear stability criterion for motions governed by a general multilayer quasi-geostiophic model is established. The model allows arbitrary density jumps and layer thickness, and at the top and the bottom of the fluid, the boundary condition is either free or rigid. The criterion is obtained by the establishment of the upper bounds of disturbance energy and potential enstrophy in terms of the initial disturbance field.
- Nonlinear stability,
- Multi-layer Q -G model
References

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Manuscript History

Manuscript received: 10 January 1994

Manuscript revised: 10 January 1994

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Arnol’d’s Second Nonlinear Stability Theorem for General Multilayer Quasi-geostrophic Model

Liu Yongming,
Mu Mu

1. Institute of Mathematics, Anhui University, Hefei 230039,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080

Manuscript received: 1994-01-10
Manuscript revised: 1994-01-10

Abstract: Arnol’d’s second nonlinear stability criterion for motions governed by a general multilayer quasi-geostiophic model is established. The model allows arbitrary density jumps and layer thickness, and at the top and the bottom of the fluid, the boundary condition is either free or rigid. The criterion is obtained by the establishment of the upper bounds of disturbance energy and potential enstrophy in terms of the initial disturbance field.

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