Symmetry of steady periodic water waves with vorticity.
نویسنده
چکیده
The symmetry and monotonicity properties of steady periodic gravity water waves are established for arbitrary vorticities if the wave profile is monotone near the trough and every streamline attains a minimum below the trough. The proof uses the method of moving planes.
منابع مشابه
Symmetry of steady periodic water waves with vorticity
We discuss certain a priori geometric properties of two-dimensional steady gravity water waves with vorticity. The main result states that for an arbitrary distribution of vorticity, any periodic wave of finite depth with a single trough (a minimum over one period) is symmetric about a single crest (a maximum over one period) and the wave profile decreases (strictly) monotonically from crest to...
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عنوان ژورنال:
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
دوره 365 1858 شماره
صفحات -
تاریخ انتشار 2007