Nonhydrostatic Pollard-like internal geophysical waves

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Date
2019-05-01
Authors
Kluczek, Mateusz
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Publisher
American Institute of Mathematical Sciences
Published Version
10.3934/dcds.2019210
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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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Keywords
Exact and explicit solutions , Geophysical , Internal water waves , Nonhydrostatic model , Equatorial water waves , Gerstner waves
Citation
Kluczek, M. (2019) 'Nonhydrostatic Pollard-like internal geophysical waves'. Discrete and Continuous Dynamical Systems, 39, pp. 5171-5183. doi: 10.3934/dcds.2019210
Link to publisher’s version
http://aimsciences.org//article/doi/10.3934/dcds.2019210
URI
https://hdl.handle.net/10468/8066
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Mathematical Sciences- Journal Articles
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