DISPERSION RELATIONS FOR PERIODIC WATER WAVES WITH SURFACE TENSION AND DISCONTINUOUS VORTICITY

被引：10

作者：

Martin, Calin Iulian ^{[1
]}

机构：

[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 08期

关键词：

Capillary-gravity water waves; piece-wise constant vorticity; dispersion relation; REGULARITY; SYMMETRY; ANALYTICITY;

D O I：

10.3934/dcds.2014.34.3109

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive the dispersion relation for water waves with surface tension and having a piecewise constant vorticity distribution. More precisely, we consider here two scenarios; the first one is that of a flow with constant non-zero vorticity adjacent to the flat bed while above this layer of vorticity we assume the flow to be irrotational. The second type of flow has a layer of non-vanishing vorticity adjacent to the free surface and is irrotational below.

引用

页码：3109 / 3123

页数：15

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