Symmetry of steady periodic surface water waves with vorticity
(2004) In Journal of Fluid Mechanics 498. p.171-181- Abstract
- For large classes of vorticities we prove that a steady periodic gravity water wave with a monotonic profile between crests and troughs must be symmetric. The analysis uses sharp maximum principles for elliptic partial differential equations.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/281836
- author
- Constantin, Adrian LU and Escher, J
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Fluid Mechanics
- volume
- 498
- pages
- 171 - 181
- publisher
- Cambridge University Press
- external identifiers
-
- wos:000220638300009
- scopus:1242299759
- ISSN
- 0022-1120
- DOI
- 10.1017/S0022112003006773
- language
- English
- LU publication?
- yes
- id
- 345ed515-df09-4017-902d-719acb3059ee (old id 281836)
- date added to LUP
- 2016-04-01 12:08:52
- date last changed
- 2022-01-26 23:30:45
@article{345ed515-df09-4017-902d-719acb3059ee,
abstract = {{For large classes of vorticities we prove that a steady periodic gravity water wave with a monotonic profile between crests and troughs must be symmetric. The analysis uses sharp maximum principles for elliptic partial differential equations.}},
author = {{Constantin, Adrian and Escher, J}},
issn = {{0022-1120}},
language = {{eng}},
pages = {{171--181}},
publisher = {{Cambridge University Press}},
series = {{Journal of Fluid Mechanics}},
title = {{Symmetry of steady periodic surface water waves with vorticity}},
url = {{http://dx.doi.org/10.1017/S0022112003006773}},
doi = {{10.1017/S0022112003006773}},
volume = {{498}},
year = {{2004}},
}