Criteria for the Nonlinear Stability of Three-Dimensional Quasi-Geostrophic Motions

Mu Mu; Zeng Qingcun

doi:10.1007/BF02657360

Impact Factor: 5.8

Volume 8 Issue 1

Jan. 1991

Article Contents

Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1991 > 8(1): 1-10

Criteria for the Nonlinear Stability of Three-Dimensional Quasi-Geostrophic Motions

Mu Mu,
Zeng Qingcun

1.
LASG, Institute of Atmospheric Physics, Academia Sinica, Beijing 100080,LASG, Institute of Atmospheric Physics, Academia Sinica, Beijing 100080

Mu Mu,
Zeng Qingcun

doi: 10.1007/BF02657360

Abstract
References
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Abstract:
Some more proper criteria for the nonlinear stability of three-dimensional quasi-geostrophic motions are given by combining variational principle with a prior estimates method. The criteria are suitable for perturbations of initial condition as well as parameters in the model. The basic flow can be steady or unsteady. Particularly the difficulty due to the nonlinear boundary condition is completely overcome by the use of our method.
References

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[2]	Liu Yongming, Mu Mu, 1992: A Problem Related to Nonlinear Stability Criteria for Multi-layer Quasi-geostrophic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 337-345. doi: 10.1007/BF02656943
[3]	LIU Yongming, CAI Jingjing, 2006: On Nonlinear Stability Theorems of 3D Quasi-geostrophic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 809-814. doi: 10.1007/s00376-006-0809-4
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[6]	Ren Shuzhan, 1991: Nonlinear Stability of Plane Rotating Shear Flow under Three-Dimensional Nondivergence Disturbances, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 129-136. doi: 10.1007/BF02658089
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[20]	Hongli LI, Xiangde XU, 2017: Application of a Three-dimensional Variational Method for Radar Reflectivity Data Correction in a Mudslide-inducing Rainstorm Simulation, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 469-481. doi: 10.1007/s00376-016-6010-5

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Manuscript History

Manuscript received: 10 January 1991

Manuscript revised: 10 January 1991

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

Criteria for the Nonlinear Stability of Three-Dimensional Quasi-Geostrophic Motions

Mu Mu,
Zeng Qingcun

1. LASG, Institute of Atmospheric Physics, Academia Sinica, Beijing 100080,LASG, Institute of Atmospheric Physics, Academia Sinica, Beijing 100080

Manuscript received: 1991-01-10
Manuscript revised: 1991-01-10

Abstract: Some more proper criteria for the nonlinear stability of three-dimensional quasi-geostrophic motions are given by combining variational principle with a prior estimates method. The criteria are suitable for perturbations of initial condition as well as parameters in the model. The basic flow can be steady or unsteady. Particularly the difficulty due to the nonlinear boundary condition is completely overcome by the use of our method.