A variational principle for three-dimensional water waves over Beltrami flows
(2019) In Nonlinear Analysis: Theory, Methods & Applications 184. p.193-209- Abstract
We consider steady three-dimensional gravity–capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves with relative velocities given by Beltrami vector fields, under general assumptions on the wave profile.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/152a53fe-41b9-4ab2-acd3-27ea2864f747
- author
- Lokharu, E. LU and Wahlén, E. LU
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Beltrami flows, Vorticity, Water waves
- in
- Nonlinear Analysis: Theory, Methods & Applications
- volume
- 184
- pages
- 17 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:85062147242
- ISSN
- 0362-546X
- DOI
- 10.1016/j.na.2019.01.028
- project
- Mathematical aspects of three-dimensional water waves with vorticity
- language
- English
- LU publication?
- yes
- id
- 152a53fe-41b9-4ab2-acd3-27ea2864f747
- date added to LUP
- 2019-03-05 13:36:50
- date last changed
- 2022-04-18 02:55:09
@article{152a53fe-41b9-4ab2-acd3-27ea2864f747, abstract = {{<p>We consider steady three-dimensional gravity–capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves with relative velocities given by Beltrami vector fields, under general assumptions on the wave profile.</p>}}, author = {{Lokharu, E. and Wahlén, E.}}, issn = {{0362-546X}}, keywords = {{Beltrami flows; Vorticity; Water waves}}, language = {{eng}}, pages = {{193--209}}, publisher = {{Elsevier}}, series = {{Nonlinear Analysis: Theory, Methods & Applications}}, title = {{A variational principle for three-dimensional water waves over Beltrami flows}}, url = {{http://dx.doi.org/10.1016/j.na.2019.01.028}}, doi = {{10.1016/j.na.2019.01.028}}, volume = {{184}}, year = {{2019}}, }