On the amplitude of steady water waves with positive constant vorticity
(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:
https://lup.lub.lu.se/record/5cc53db7-9a4d-4e7f-a4b3-8157bbac5900
- author
- Lokharu, Evgeniy LU ; Wahlén, Erik LU and Weber, Jörg LU
- organization
- publishing date
- 2022
- 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}}, }