American Institute of Mathematical Sciences

August  2017, 37(8): 4391-4398. doi: 10.3934/dcds.2017188

Exact azimuthal internal waves with an underlying current

 Department of Marine Environment and Engineering, National Sun Yat-sen University, Kaohsiung 80424, Taiwan

Received  January 2017 Revised  May 2017 Published  April 2017

In this paper, we present an explicit and exact solution of the nonlinear governing equations including Coriolis and centripetal terms for internal azimuthal waves with a uniform current in the $\beta$-plane approximation near the equator. This solution is described in the Lagrangian framework. The unidirectional azimuthal internal trapped are symmetric about the equator and propagate eastward above the thermocline and beneath the near-surface layer.

Citation: Hung-Chu Hsu. Exact azimuthal internal waves with an underlying current. Discrete & Continuous Dynamical Systems - A, 2017, 37 (8) : 4391-4398. doi: 10.3934/dcds.2017188
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