Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

A variational principle for three-dimensional water waves over Beltrami flows

Lokharu, E. LU and Wahlén, E. LU (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:
author
and
organization
publishing date
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}},
}