Exact Pollard-like internal water waves

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Exact Pollard-like internal water waves

Kluczek, Mateusz
Date: 2018-12-03
Copyright: © 2018, Taylor & Francis Group. This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Nonlinear Mathematical Physics on 3 December 2018, available online: http://www.tandfonline.com/10.1080/14029251.2019.1544794
Full text restriction information: Access to this article is restricted until 12 months after publication by request of the publisher.
Restriction lift date: 2019-12-03
Citation: Kluczek, M. (2018) 'Exact Pollard-like internal water waves', Journal of Nonlinear Mathematical Physics, 26(1), pp. 133-146. doi:10.1080/14029251.2019.1544794
Published Version: 10.1080/14029251.2019.1544794

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.

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