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Volume 25, Issue 3, July 2018, Pages 351 - 357
On nonlinearity in three-dimensional equatorial flows
Authors
David Henry
School of Mathematical Sciences, University College Cork, Cork, Ireland,d.henry@ucc.ie
Received 21 December 2017, Accepted 26 February 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1494780How to use a DOI?
- Keywords
- Nonlinearity; geophysical fluid dynamics; non-traditional; β-plane
- Abstract
We examine an aspect of the modelling of the underlying fluid motion in the equatorial region of the ocean. In particular, we assess whether nonlinearity is inherently vital in capturing the three-dimensional upwelling and downwelling phenomena. A recent applied mathematical approach has successfully captured these processes through an application of asymptotic approximations to the Euler equation, resulting in a simplified yet nonlinear model. This note demonstrates that any linearisation of the fluid flow will fail to capture the emergence and persistence of similar large-scale coherent structures.
- Copyright
- © 2018 The Authors. Published by Atlantis 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/).
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Cite this article
TY - JOUR AU - David Henry PY - 2021 DA - 2021/01/06 TI - On nonlinearity in three-dimensional equatorial flows JO - Journal of Nonlinear Mathematical Physics SP - 351 EP - 357 VL - 25 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1494780 DO - 10.1080/14029251.2018.1494780 ID - Henry2021 ER -