Analyticity of periodic traveling free surface water waves with vorticity
成果类型：
Article
署名作者：
Constantin, Adrian; Escher, Joachim
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2011.173.1.12
发表日期：
2011
页码：
559-568
关键词：
摘要：
We prove that the profile of a periodic traveling wave propagating at the surface of water above a flat bed in a flow with a real analytic vorticity must be real analytic, provided the wave speed exceeds the horizontal fluid velocity throughout the flow. The real analyticity of each streamline beneath the free surface holds even if the vorticity is only Holder continuously differentiable.