Velocity field and pressure analysis of equatorial flows beneath solitary water waves

被引:2
|
作者
Li, Qixiang [1 ]
Feckan, Michal [2 ,3 ]
Wang, JinRong [1 ]
机构
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia
[3] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia
基金
中国国家自然科学基金;
关键词
Solitary water waves; Equatorial flows; Pressure; Elevation of waves; Coriolis effect; STEADY PERIODIC-WAVES; FREE-SURFACE; FORCE REFORMULATION; DYNAMIC PRESSURE; PARTICLE PATHS; RECOVERY; PROFILES; TRAJECTORIES; STREAMLINES; SYMMETRY;
D O I
10.1016/j.nonrwa.2022.103754
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate steady equatorial flows beneath solitary water waves subject to the Coriolis effect, which propagate over a flat bed. In particular, we focus on irrotational flows and present some properties of velocity field, behavior of the pressure and the extrema of the dynamic pressure. In addition, we provide some estimates for the elevation of wave from pressure measurements at an arbitrary intermediate depth. The analysis is based on the maximum principles. (C) 2022 Elsevier Ltd. All rights reserved.
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页数:18
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