Volume 26, Issue 1, December 2018, Pages 133 - 146
Exact Pollard-like internal water waves
Authors
Mateusz Kluczek
School of Mathematical Sciences, Western Gateway Building, Western Road, University College Cork Cork, Ireland,m.kluczek@umail.ucc.ie
Received 24 July 2018, Accepted 6 September 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2019.1544794How to use a DOI?
- Keywords
- Exact and explicit solution; geophysical, internal water waves
- Abstract
In this paper we construct a new solution which represents Pollard-like three-dimensional nonlinear geophysical internal water waves. The Pollard-like solution includes the effects of the rotation of Earth and describes the internal water wave which exists at all latitudes across Earth and propagates above the thermocline. The solution is provided in Lagrangian coordinates. In the process we derive the appropriate dispersion relation for the internal water waves in a stable stratification and discuss the particles paths. An analysis of the dispersion relation for the constructed model identifies one mode of the internal water waves.
- Copyright
- © 2019 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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TY - JOUR AU - Mateusz Kluczek PY - 2021 DA - 2021/01/06 TI - Exact Pollard-like internal water waves JO - Journal of Nonlinear Mathematical Physics SP - 133 EP - 146 VL - 26 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1544794 DO - 10.1080/14029251.2019.1544794 ID - Kluczek2021 ER -