Nonlinear Saturation of Baroclinic Instability in the Generalized Phillips Model (Ⅰ)—the Upper Bound on the Evolution of Disturbance to the Nonlinearly Unstable Basic Flow

ZHANG Gui; XIANG Jie; LI Dong-hui

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(1): 73-81

ZHANG Gui, XIANG Jie, LI Dong-hui. Nonlinear Saturation of Baroclinic Instability in the Generalized Phillips Model (Ⅰ)—the Upper Bound on the Evolution of Disturbance to the Nonlinearly Unstable Basic Flow[J]. Applied Mathematics and Mechanics, 2002, 23(1): 73-81.

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Nonlinear Saturation of Baroclinic Instability in the Generalized Phillips Model (Ⅰ)—the Upper Bound on the Evolution of Disturbance to the Nonlinearly Unstable Basic Flow

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;
3.
Institute of Meteorology, University of Science and technology, P.L.A, Naning 211101, P R China

Received Date: 2000-01-16
Rev Recd Date: 2001-10-29
Publish Date: 2002-01-15

Abstract

Abstract

On the basis of the nonlinear stability theorem in the context of Arnol's second theorem for the generalized Phillips model,nonlinear saturation of baroclinic instability in the generalized Phillips model is investigated.By choosing appropriate artificial stable basic flows,the upper bounds on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model are obtained,which are analytic completely and without the limitation of infinitesimal initial disturbance.
- nonlinear saturation,
- baroclinic instability,
- generalized Phillips model,

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References(10)

References

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