Pollard waves with underlying currents

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2021-ProcAMS-Henry-Lyons.pdf(822.35 KB)
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Date
2021-01-21
Authors
Henry, David
Lyons, Tony
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Volume Title
Publisher
The American Mathematical Society
Published Version
10.1090/proc/15309
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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.
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Keywords
Exact solution , Geophysical fluid dynamics , Nonlinear waves , Wave-current interactions
Citation
Henry D. and Lyons T. (2021) 'Pollard waves with underlying currents', Proceedings of the American Mathematical Society, 149 (3), pp. 1175-1188. doi: 10.1090/proc/15309
Link to publisher’s version
https://www.ams.org/journals/proc/2021-149-03/S0002-9939-2021-15309-4/
URI
https://hdl.handle.net/10468/12189
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Mathematical Sciences- Journal Articles
Copyright
© 2021 American Mathematical Society. First published by the American Mathematical Society in Transactions of the American Mathematical Society, 149, January 2021.