Dispersion relations for fixed mean-depth flows with two discontinuities in vorticity

被引：5
作者：
Kluczek, Mateusz [1 ]
Martin, Calin Iulian [1 ]
机构：
[1] Univ Coll Cork, Sch Math Sci, Cork, Ireland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 181卷
基金：
爱尔兰科学基金会;
关键词：
Steady water waves; Dispersion relation; Discontinuous vorticity; Stability of laminar solutions; Fixed mean-depth formulation; PERIODIC WATER-WAVES; GLOBAL BIFURCATION; SYMMETRY; REGULARITY; ANALYTICITY; FORMULATIONS; EXISTENCE;
D O I：
10.1016/j.na.2018.11.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive here the dispersion relation for small-amplitude steady two-dimensional periodic water waves that propagate over a flat bed with a specified and fixed mean-depth. The water flow has a discontinuous vorticity distribution reflecting an isolated rotational layer of fluid. We then use the dispersion relation to obtain necessary and sufficient conditions for local bifurcation to occur. Moreover, a stability analysis of the laminar flows is presented. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：62 / 86
页数：25
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