DISPERSION RELATIONS FOR STEADY PERIODIC WATER WAVES OF FIXED MEAN-DEPTH WITH TWO ROTATIONAL LAYERS

被引：4
|
作者：
Martin, Calin Iulian [1 ]
Rodriguez-Sanjurjo, Adrian [2 ]
机构：
[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
[2] Univ Coll Cork, Sch Math Sci, Western Rd, Cork T12 XF62, Ireland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2019年 / 39卷 / 09期
基金：
奥地利科学基金会; 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; DISCONTINUOUS VORTICITY; GLOBAL BIFURCATION; SURFACE-TENSION; FLOWS; REGULARITY; SYMMETRY; ANALYTICITY; EXISTENCE;
D O I：
10.3934/dcds.2019209
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to obtain the dispersion relation for small-amplitude periodic travelling water waves propagating over a flat bed with a specified mean depth under the presence of a discontinuous piecewise constant vorticity. An analysis of the dispersion relation for a model with two rotational layers each having a non-zero constant vorticity is presented. Moreover, we present a stability result for the bifurcation inducing laminar flow solutions.
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页码：5149 / 5169
页数：21
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