Journal of Mathematical Fluid Mechanics

, Volume 19, Issue 2, pp 283–304 | Cite as

On Irrotational Flows Beneath Periodic Traveling Equatorial Waves

  • Ronald QuirchmayrEmail author
Open Access


We discuss some aspects of the velocity field and particle trajectories beneath periodic traveling equatorial surface waves over a flat bed in a flow with uniform underlying currents. The system under study consists of the governing equations for equatorial ocean waves within a non-inertial frame of reference, where Euler’s equation of motion has to be suitably adjusted, in order to account for the influence of the earth’s rotation.


Surface waves Coriolis effects irrotational flows particle paths 

Mathematics Subject Classification

35Q35 76B15 


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© The Author(s) 2016

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of ViennaWienAustria

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