Volume 22, Issue 4, November 2015, Pages 531 - 539
On the dynamics of internal waves interacting with the equatorial undercurrent
Authors
Alan Compelli
School of Mathematical Sciences, Dublin Institute of Technology, Kevin Street, Dublin 8, Ireland,alan.compelli@mydit.ie
Rossen Ivanov*
Faculty of Mathematics, Oskar-Morgenstern-Platz 1, University of Vienna, 1090 Vienna, Austria,rossen.ivanov@univie.ac.at">rossen.ivanov@univie.ac.at
*
School of Mathematical Sciences, Dublin Institute of Technology, Kevin Street, Dublin 8, Ireland; email: rossen.ivanov@dit.ie
Received 1 September 2015, Accepted 1 October 2015, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.1113052How to use a DOI?
- Keywords
- Internal waves; Equatorial undercurrent; shear flow; Hamiltonian system
- Abstract
The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorticity in the layer, where the internal wave motion takes place. We show that the nonzero vorticity that might be occuring in other layers of the current does not affect the wave motion. The equations of motion are formulated as a Hamiltonian system.
- Copyright
- © 2015 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Alan Compelli AU - Rossen Ivanov PY - 2021 DA - 2021/01/06 TI - On the dynamics of internal waves interacting with the equatorial undercurrent JO - Journal of Nonlinear Mathematical Physics SP - 531 EP - 539 VL - 22 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.1113052 DO - 10.1080/14029251.2015.1113052 ID - Compelli2021 ER -