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On the Amplitude of Steady Water Waves with Favorable Constant Vorticity

Lokharu, Evgeniy LU ; Wahlén, Erik LU and Weber, Jörg LU (2023) In Journal of Mathematical Fluid Mechanics 25(3).
Abstract

For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favorable 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
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Fluid Mechanics
volume
25
issue
3
article number
58
publisher
Birkhäuser Verlag
external identifiers
  • scopus:85160921967
ISSN
1422-6928
DOI
10.1007/s00021-023-00796-6
language
English
LU publication?
yes
id
3772ff00-6cb4-448f-b047-2ef57c13ff21
date added to LUP
2023-08-15 14:38:57
date last changed
2023-08-15 14:38:57
@article{3772ff00-6cb4-448f-b047-2ef57c13ff21,
  abstract     = {{<p>For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favorable 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.</p>}},
  author       = {{Lokharu, Evgeniy and Wahlén, Erik and Weber, Jörg}},
  issn         = {{1422-6928}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{Birkhäuser Verlag}},
  series       = {{Journal of Mathematical Fluid Mechanics}},
  title        = {{On the Amplitude of Steady Water Waves with Favorable Constant Vorticity}},
  url          = {{http://dx.doi.org/10.1007/s00021-023-00796-6}},
  doi          = {{10.1007/s00021-023-00796-6}},
  volume       = {{25}},
  year         = {{2023}},
}