Pollard waves with underlying currents

Henry, David and Lyons, Tony (2021) Pollard waves with underlying currents. Proceedings of the American Mathematical Society, 149 (3). pp. 1175-1188. ISSN 0002-9939

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Abstract

We construct an exact solution of the geophysical fluid dynamics governing equations which models waves in the presence of underlying currents, extending Pollard's wave solution to admit underlying meridional and vertical currents at mid-latitudes. We show that these currents cannot be prescribed arbitrarily, but rather must be constant and form a velocity vector which is parallel to the Earth's rotation vector. At the equator, there is freedom to prescribe a meridional current term which may vary both zonally and vertically.

Item Type:	Article
Additional Information:	Funding Information: Received by the editors May 4, 2020, and, in revised form, August 4, 2020. 2020 Mathematics Subject Classification. Primary 35Q35, 76B15; Secondary 37N10. Key words and phrases. Nonlinear waves, wave-current interactions, exact solution, geophysical fluid dynamics. The first author acknowledges the support of the Science Foundation Ireland (SFI) grant 13/CDA/2117. Publisher Copyright: © 2021 American Mathematical Society
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:07
Last Modified:	13 Aug 2023 19:25
URI:	http://repository-testing.wit.ie/id/eprint/4217

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