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A New Approach To Study Constant Vorticity Water Flows In The Beta-Plane Approximation With Centripetal Forces

Fahe Miao,Michal Feckan,Jinrong Wang

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS（2021）

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Abstract
In this paper, we study three-dimensional equatorial flows with constant vorticity beneath a wave train and above a flat bed in the beta-plane approximation with centripetal forces by adopting higher order approximation about the Coriolis terms. We show that the new approximation about the Coriolis forces is also applicable for certain problem, which help us to derive the same result.
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Key words
Constant vorticity, Equatorial flows, beta-plane, Centripetal forces
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