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.
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页码：3109 / 3123
页数：15
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