Exact azimuthal internal waves with an underlying current

Hung-Chu Hsu

doi:10.3934/dcds.2017188

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2017, Volume 37, Issue 8: 4391-4398. Doi: 10.3934/dcds.2017188

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Exact azimuthal internal waves with an underlying current

Hung-Chu Hsu

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

Received: December 31, 2016

Revised: April 30, 2017

Published: May 2017

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Abstract

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.

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Mathematics Subject Classification: Primary: 76B55, 86A05, 76E30.

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