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On three-dimensional geophysical capillary–gravity water flows with constant vorticity
Annali di Matematica Pura ed Applicata ( IF 1.0 ) Pub Date : 2020-06-20 , DOI: 10.1007/s10231-020-01010-4
Lili Fan , Hongjun Gao

Consideration in this paper is three-dimensional capillary–gravity water flows governed by the geophysical water wave equations with all the Coriolis terms being retained. It is proved that the merely possible flow exhibiting a constant vorticity vector captures vanishing vertical velocity, constant horizontal velocity and flat free surface.



中文翻译:

在三维地球物理毛细重力作用下,水流具有恒定涡度

本文考虑的是由地球物理水波方程控制的三维毛细管重力水流,并保留了所有科里奥利项。事实证明,表现出恒定涡度矢量的唯一可能流捕获了消失的垂直速度,恒定的水平速度和平坦的自由表面。

更新日期:2020-06-22
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