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Steady periodic equatorial water waves with vorticity

  • * Corresponding author: Jifeng Chu

    * Corresponding author: Jifeng Chu 

The paper is for the special theme: Mathematical Aspects of Physical Oceanography, organized by Adrian Constantin.

Jifeng Chu was supported by the Alexander von Humboldt-Stiftung of Germany, and the National Natural Science Foundation of China (Grants No. 11671118 and No. 11871273)

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  • Of concern are steady two-dimensional periodic geophysical water waves of small amplitude near the equator. The analysis presented here is based on the bifurcation theory due to Crandall-Rabinowitz. Dispersion relations for various choices of the vorticity distribution, including constant, affine, and some nonlinear vorticities are obtained.

    Mathematics Subject Classification: Primary: 76B15, 35J60, 47J15, 76B03.


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