Steady periodic equatorial water waves with vorticity

Jifeng Chu; Joachim Escher

doi:10.3934/dcds.2019191

Article Contents

2019, Volume 39, Issue 8: 4713-4729. Doi: 10.3934/dcds.2019191

This issue Previous Article Minimality, distality and equicontinuity for semigroup actions on compact Hausdorff spaces Next Article Infinity-harmonic potentials and their streamlines

Steady periodic equatorial water waves with vorticity

Jifeng Chu^1, , and
Joachim Escher^2,

1.
Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
2.
Institute for Applied Mathematics, Leibniz Universität Hannover, Hannover 30167, Germany

^* Corresponding author: Jifeng Chu
^* Corresponding author: Jifeng Chu

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

Received: August 31, 2018

Revised: December 31, 2018

Published: May 2019

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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Abstract

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.

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

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References

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