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Instability of geophysical flows at arbitrary latitude

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Abstract

In this paper, we present an exact solution of the nonlinear governing equations for the geophysical waves propagating above the thermocline toward the east at arbitrary latitude. Based on the short-wavelength instability approach, we demonstrate the criteria for the hydrodynamical instability of such water waves.

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Acknowledgements

Yanjuan Yang was supported by the Fundamental Research Funds for the Central Universities (Grant No. 2017B715X14) and the Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYCX17\(_{-}\)0508).

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

    Xun Wang

  2. Department of Mathematics, College of Science, Hohai University, Nanjing, 210098, China

    Yanjuan Yang

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  1. Xun Wang
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  2. Yanjuan Yang
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Correspondence to Yanjuan Yang.

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Wang, X., Yang, Y. Instability of geophysical flows at arbitrary latitude. Monatsh Math 191, 831–842 (2020). https://doi.org/10.1007/s00605-019-01338-x

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  • DOI: https://doi.org/10.1007/s00605-019-01338-x

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