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.

引用

页码：3858 / 3871

页数：14

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