Symmetry of steady deep-water waves with vorticity

authored by
Adrian Constantin, Joachim Escher
Abstract

For a large class of vorticities we prove that a steady periodic deep-water wave must be symmetric if its profile is monotone between crests and troughs.

Organisation(s)
Institute of Applied Mathematics
External Organisation(s)
Lund University
Type
Article
Journal
European Journal of Applied Mathematics
Volume
15
Pages
755-768
No. of pages
14
ISSN
0956-7925
Publication date
12.2004
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Applied Mathematics
Electronic version(s)
https://doi.org/10.1017/S0956792504005777 (Access: Unknown)
https://doi.org/10.15488/2704 (Access: Open)