Analyticity of the Streamlines for Periodic Travelling Free Surface Capillary-Gravity Water Waves with Vorticity
نویسنده
چکیده
For capillary-gravity water waves with vorticity we prove that all streamlines beneath the surface are real analytic.
منابع مشابه
Regularity of Traveling Free Surface Water Waves with Vorticity
Abstract. We prove real analyticity of all the streamlines, including the free surface, of a gravityor capillary-gravity-driven steady flow of water over a flat bed, with a Hölder continuous vorticity function, provided that the propagating speed of the wave on the free surface exceeds the horizontal fluid velocity throughout the flow. Furthermore, if the vorticity possesses some Gevrey regular...
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 42 شماره
صفحات -
تاریخ انتشار 2010