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Volume 17 Issue 2

Apr.  2000

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Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 2000 >  17(2): 275-284

A Study on the Nonlinear Stability of Fronts in the Ocean on a Sloping Continental Shelf

  • 1.

    LASG Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029


doi: 10.1007/s00376-000-0009-6

  • The baroclinic nonlinear stability of fronts in the ocean on a sloping continental shelf is studied, the model equations, called the frontal geostrophic model, developed by Cushman-Roisin et al. (1992) for des-cribing the dynamics of surface density fronts in the ocean are developed and the two-layer frontal geostrophic model for fronts on a sloping continental shelf is first obtained. The nonlinear stability criteria for the fronts on a sloping bottom are obtained by using Arnol'd (1965, 1969) variational principle and a prior estimate method. It is shown that our result is better than the former works.
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    [2] Liu Yongming, 1999: Nonlinear Stability of Zonally Symmetric Quasi-geostrophic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 107-118.  doi: 10.1007/s00376-999-0007-2
    [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
    [4] Mu Mu, Wu Yonghui, Tang Mozhi, Liu Haiyan, 1999: Nonlinear Stability Analysis of the Zonal Flows at Middle and High Latitudes, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 569-580.  doi: 10.1007/s00376-999-0032-1
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    [9] 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
    [10] Liu Shikuo, He Anguo, 1991: A Simple Quasi-Geostrophic Coupled Ocean-Atmosphere Model, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 257-271.  doi: 10.1007/BF02919608
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    [18] LIN Pengfei, YU Yongqiang, LIU Hailong, 2013: Long-term Stability and Oceanic Mean State Simulated by the Coupled Model FGOALS-s2, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 175-192.  doi: 10.1007/s00376-012-2042-7
    [19] LIU Shikuo, LIU Shida, FU Zuntao, SUN Lan, 2005: A Nonlinear Coupled Soil Moisture-Vegetation Model, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 337-342.  doi: 10.1007/BF02918747
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    • Manuscript History

    Manuscript received: 10 April 2000
    Manuscript revised: 10 April 2000
    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

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    A Study on the Nonlinear Stability of Fronts in the Ocean on a Sloping Continental Shelf

    • 1. LASG Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
    • Manuscript received: 2000-04-10
    • Manuscript revised: 2000-04-10

    Abstract: The baroclinic nonlinear stability of fronts in the ocean on a sloping continental shelf is studied, the model equations, called the frontal geostrophic model, developed by Cushman-Roisin et al. (1992) for des-cribing the dynamics of surface density fronts in the ocean are developed and the two-layer frontal geostrophic model for fronts on a sloping continental shelf is first obtained. The nonlinear stability criteria for the fronts on a sloping bottom are obtained by using Arnol'd (1965, 1969) variational principle and a prior estimate method. It is shown that our result is better than the former works.

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