Nonhydrostatic Pollard-like internal geophysical waves

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Nonhydrostatic Pollard-like internal geophysical waves

Kluczek, Mateusz
Date: 2019-05-01
Copyright: © 2019 American Institute of Mathematical Sciences. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series A following peer review. The definitive publisher-authenticated version is available online at: http://aimsciences.org//article/doi/10.3934/dcds.2019210
Related: http://aimsciences.org//article/doi/10.3934/dcds.2019210
Full text restriction information: Access to this article is restricted until 12 months after publication by request of the publisher
Restriction lift date: 2020-05-01
Citation: Kluczek, M. (2019) 'Nonhydrostatic Pollard-like internal geophysical waves'. Discrete and Continuous Dynamical Systems, 39, pp. 5171-5183. doi: 10.3934/dcds.2019210
Published Version: 10.3934/dcds.2019210

Abstract:

We present a new exact and explicit Pollard-like solution describing internal water waves representing the oscillation of the thermocline in a nonhydrostatic model. The derived solution is a modification of Pollard's surface wave solution in order to describe internal water waves at general latitudes. The novelty of this model consists in the embodiment of transitional layers beneath the thermocline. We present a Lagrangian analysis of the nonlinear internal water waves and we show the existence of two modes of the wave motion.

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