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：

爱尔兰科学基金会; 奥地利科学基金会;

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.

引用

页码：5149 / 5169

页数：21

共 60 条

[1] Variational formulations for steady water waves with vorticity [J].