On exponential decay with depth for irrotational water waves
(2026) In Journal of Fluid Mechanics 1034.- Abstract
- We consider two-dimensional irrotational steady gravity waves and derive new explicit analytical bounds for the velocity field and the slope of the free surface. Using an auxiliary function tailored to the streamfunction formulation, we obtain an explicit exponential decay estimate which is optimal for linear waves. The same method yields a new slope estimate that improves existing bounds in the moderate-amplitude regime.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1599b810-0865-4315-a2ab-b6770bdf112c
- author
- Lokharu, Evgeniy LU
- organization
- publishing date
- 2026-05-10
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Fluid Mechanics
- volume
- 1034
- publisher
- Cambridge University Press
- external identifiers
-
- scopus:105038209904
- ISSN
- 0022-1120
- DOI
- 10.1017/jfm.2026.11478
- language
- English
- LU publication?
- yes
- id
- 1599b810-0865-4315-a2ab-b6770bdf112c
- date added to LUP
- 2026-04-30 10:59:11
- date last changed
- 2026-07-10 12:52:56
@article{1599b810-0865-4315-a2ab-b6770bdf112c,
abstract = {{We consider two-dimensional irrotational steady gravity waves and derive new explicit analytical bounds for the velocity field and the slope of the free surface. Using an auxiliary function tailored to the streamfunction formulation, we obtain an explicit exponential decay estimate which is optimal for linear waves. The same method yields a new slope estimate that improves existing bounds in the moderate-amplitude regime.}},
author = {{Lokharu, Evgeniy}},
issn = {{0022-1120}},
language = {{eng}},
month = {{05}},
publisher = {{Cambridge University Press}},
series = {{Journal of Fluid Mechanics}},
title = {{On exponential decay with depth for irrotational water waves}},
url = {{http://dx.doi.org/10.1017/jfm.2026.11478}},
doi = {{10.1017/jfm.2026.11478}},
volume = {{1034}},
year = {{2026}},
}