On some properties of velocity field for two dimensional rotational steady water waves

被引：7
作者：
Basu, Biswajit [1 ]
机构：
[1] Trinity Coll Dublin, Sch Engn, Dublin 2, Ireland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 184卷
关键词：
Vorticity; Steady water waves; Velocity field; STRONG MAXIMUM PRINCIPLE; STOKES CONJECTURE; GLOBAL BIFURCATION; TRAJECTORIES; SYMMETRY; EXISTENCE;
D O I：
10.1016/j.na.2019.01.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the properties of velocity field for steady periodic water waves over a flat bed for a generalized class of C-1 vorticity functions gamma. Results are proved by exploiting the maximum principles and are based on Dubreil-Jacotin transformation of the fluid domain. Some properties of velocities interior to the fluid domain and the locations of maximum/minimum horizontal fluid velocities are investigated and proved for rotational water waves without any restriction to amplitude. For u < c and a monotonically varying positive vorticity (gamma = u(y) - v(x) >= 0), the location of maximal horizontal velocity has been proven to be the crest, generalizing some of the recently proved results. (C) 2019 Elsevier Ltd. All rights reserved.
引用
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页码：17 / 34
页数：18
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