On three-dimensional geophysical capillary–gravity water flows with constant vorticity

被引：0
|
作者：
Lili Fan
Hongjun Gao
机构：
[1] Henan Normal University,College of Mathematics and Information Science
[2] Southeast University,School of Mathematics
[3] Nanjing Normal University,School of Mathematical Science
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2021年 / 200卷
关键词：
Capillary–gravity waves; Coriolis force; Waves in rotating fluids; Vorticity; 35Q35; 76B45; 76U05;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：711 / 720
页数：9
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