Analyticity of the Streamlines for Periodic Traveling Water Waves with Bounded Vorticity

被引：41
|
作者：
Matioc, Bogdan-Vasile [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 17期
关键词：
PARTICLE TRAJECTORIES; EQUATIONS; SYMMETRY;
D O I：
10.1093/imrn/rnq235
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the streamlines underneath the surface of a periodic traveling water wave propagating above a flat bed with constant speed which exceeds the horizontal velocity of all fluid particles are real analytic provided the vorticity function is merely bounded and measurable.
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页码：3858 / 3871
页数：14
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