Steady water waves with a critical layer
Steady water waves with a critical layer
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DOI：
10.1016/j.jde.2008.10.005
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发表时间：
2009-03
影响因子：
2.4
通讯作者：
E. Wahlén
中科院分区：
文献类型：
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作者：
E. Wahlén
构造了具有等涡度的小振幅稳定周期水波。在这些波中，某些波具有这样的性质：在与波一起运动的坐标系中，流体中存在一个具有封闭流线的“临界层”。这些波在无旋转环境中不存在，我们对此进行了详细的研究。特别地，我们给出了粒子路径的完整描述。
We construct small-amplitude steady periodic water waves with constant vorticity. Among these are certain waves with the property that in a frame moving with the wave there is a ‘critical layer’ with closed streamlines in the fluid. These waves, which do not exist in the irrotational setting, are studied in detail. In particular we give a full description of the particle paths.