An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity
(2020) In Archive for Rational Mechanics and Analysis 238(2). p.607-637- Abstract
We prove the existence of three-dimensional steady gravity-capillary waves with vorticity on water of finite depth. The waves are periodic with respect to a given two-dimensional lattice and the relative velocity field is a Beltrami field, meaning that the vorticity is collinear to the velocity. The existence theory is based on multi-parameter bifurcation theory.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/01fec12c-ae8d-45b1-89de-d86a2d1b1ca7
- author
- Lokharu, E. LU ; S. Seth, D. LU and Wahlén, E. LU
- organization
- publishing date
- 2020-11
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Archive for Rational Mechanics and Analysis
- volume
- 238
- issue
- 2
- pages
- 31 pages
- publisher
- Springer
- external identifiers
-
- scopus:85088141648
- ISSN
- 0003-9527
- DOI
- 10.1007/s00205-020-01550-2
- project
- Mathematical aspects of three-dimensional water waves with vorticity
- language
- English
- LU publication?
- yes
- id
- 01fec12c-ae8d-45b1-89de-d86a2d1b1ca7
- date added to LUP
- 2020-07-30 10:53:34
- date last changed
- 2022-04-19 00:02:34
@article{01fec12c-ae8d-45b1-89de-d86a2d1b1ca7, abstract = {{<p>We prove the existence of three-dimensional steady gravity-capillary waves with vorticity on water of finite depth. The waves are periodic with respect to a given two-dimensional lattice and the relative velocity field is a Beltrami field, meaning that the vorticity is collinear to the velocity. The existence theory is based on multi-parameter bifurcation theory.</p>}}, author = {{Lokharu, E. and S. Seth, D. and Wahlén, E.}}, issn = {{0003-9527}}, language = {{eng}}, number = {{2}}, pages = {{607--637}}, publisher = {{Springer}}, series = {{Archive for Rational Mechanics and Analysis}}, title = {{An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity}}, url = {{http://dx.doi.org/10.1007/s00205-020-01550-2}}, doi = {{10.1007/s00205-020-01550-2}}, volume = {{238}}, year = {{2020}}, }