On the analyticity of periodic gravity water waves with integrable vorticity function

authored by: Joachim Escher, Bogdan-Vasile Matioc
Abstract: We prove that the streamlines and the profile of periodic gravity water waves traveling over a flat bed with wavespeed which exceeds the horizontal velocity of all fluid particles are real-analytic graphs if the vorticity function is merely integrable.
Organisation(s): Institute of Applied Mathematics
Type: Article
Journal: Differential and Integral Equations
Volume: 27
Pages: 217-232
No. of pages: 16
ISSN: 0893-4983
Publication date: 2014
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Analysis, Applied Mathematics