Dynamics of Partial Differential Equations
Volume 18 (2021)
A new approach to study constant vorticity water flows in the $\beta$-plane approximation with centripetal forces
Pages: 199 – 210
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.
constant vorticity, equatorial flows, $\beta$-plane, centripetal forces
2010 Mathematics Subject Classification
35J60, 35Q31, 76B15
This work is partially supported by the National Natural Science Foundation of China (11661016), Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), the Slovak Research and Development Agency under the contract No. APVV-18-0308, and the Slovak Grant Agency VEGA No. 1/0358/20 and No. 2/0127/20.
Received 19 January 2021
Published 22 July 2021