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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

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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.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Institute of Science, University of Science and Technology, P. L. A., 211101, Nanjing, P R China

    Zhang Gui Master

  2. Department of Meteorology, P. O. Box 003, 211101, Nanjing, P R China

    Xiang Jie

  3. Institute of Meteorology, University of Science and Technology, P. L. A., 211101, Nanjing, P R China

    Li Dong-hui

Authors
  1. Zhang Gui Master
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  2. Xiang Jie
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  3. Li Dong-hui
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Communicated by DAI Shi-qiang

Biography: ZHANG Gui (1973-)

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Gui, Z., Jie, X. & Dong-hui, L. 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. Appl Math Mech 23, 79–88 (2002). https://doi.org/10.1007/BF02437733

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  • DOI: https://doi.org/10.1007/BF02437733

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