Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

On the amplitude of steady water waves with positive constant vorticity

Lokharu, Evgeniy LU ; Wahlén, Erik LU and Weber, Jörg LU (2022)
Abstract
For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favourable vorticity, we prove an explicit bound on the amplitude of the wave, which decays to zero as the vorticity tends to infinity. Notably, our result holds true for arbitrary water waves, that is, we do not have to restrict ourselves to periodic or solitary or symmetric waves.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Working paper/Preprint
publication status
published
subject
publisher
arXiv.org
DOI
10.48550/arXiv.2209.04641
language
English
LU publication?
yes
id
5cc53db7-9a4d-4e7f-a4b3-8157bbac5900
date added to LUP
2023-03-25 18:53:20
date last changed
2023-04-27 10:55:22
@misc{5cc53db7-9a4d-4e7f-a4b3-8157bbac5900,
  abstract     = {{For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favourable vorticity, we prove an explicit bound on the amplitude of the wave, which decays to zero as the vorticity tends to infinity. Notably, our result holds true for arbitrary water waves, that is, we do not have to restrict ourselves to periodic or solitary or symmetric waves.}},
  author       = {{Lokharu, Evgeniy and Wahlén, Erik and Weber, Jörg}},
  language     = {{eng}},
  note         = {{Preprint}},
  publisher    = {{arXiv.org}},
  title        = {{On the amplitude of steady water waves with positive constant vorticity}},
  url          = {{http://dx.doi.org/10.48550/arXiv.2209.04641}},
  doi          = {{10.48550/arXiv.2209.04641}},
  year         = {{2022}},
}