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Nonlinear Stability Theorem for Eady's Model of Quasigeostrophic Baroclinic Flow

Liu YongmingInstitute of Mathematics, Anhui University, Hefei, People's Republic of China

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Mu MuLASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, People's Republic of China

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Abstract

In this paper, the linear stability criterion for Eady's problem is proved to be also a nonlinear stability one. Upper bounds for the disturbance potential enstrophy, the disturbance energy, and the disturbance available potential energy on the rigid lids are also established.

Abstract

In this paper, the linear stability criterion for Eady's problem is proved to be also a nonlinear stability one. Upper bounds for the disturbance potential enstrophy, the disturbance energy, and the disturbance available potential energy on the rigid lids are also established.

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