Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface

Compelli, Alan C. and Ivanov, Rossen I. and Lyons, Tony (2019) Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface. In: Tutorials, Schools, and Workshops in the Mathematical Sciences :. Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhauser, pp. 87-108.

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Abstract

A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is bounded below by a flat bottom and the upper layer is bounded above by a flat surface. The fluids are incompressible and inviscid and Coriolis forces as well as currents are taken into consideration. A Hamiltonian formulation is presented and appropriate scaling leads to a KdV approximation. Additionally, considering the lower layer to be infinitely deep leads to a Benjamin–Ono approximation.

Item Type:	Book Section
Additional Information:	Funding Information: The authors are grateful to the Erwin Schr?dinger International Institute for Mathematics and Physics (ESI), Vienna (Austria) for the opportunity to participate in the workshop Nonlinear Water Waves?an Interdisciplinary Interface, 2017 where a significant part of this work has been accomplished. AC is also funded by SFI grant 13/CDA/2117. Publisher Copyright: © 2019, Springer Nature Switzerland AG.
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600
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Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:18
Last Modified:	07 Jun 2023 18:40
URI:	http://repository-testing.wit.ie/id/eprint/5241

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