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An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity

Lokharu, E. LU ; S. Seth, D. LU and Wahlén, E. LU (2020) In Archive for Rational Mechanics and Analysis
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.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
epub
subject
in
Archive for Rational Mechanics and Analysis
publisher
Springer
external identifiers
  • scopus:85088141648
ISSN
0003-9527
DOI
10.1007/s00205-020-01550-2
language
English
LU publication?
yes
id
01fec12c-ae8d-45b1-89de-d86a2d1b1ca7
date added to LUP
2020-07-30 10:53:34
date last changed
2020-08-05 05:48:41
@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},
  month        = {07},
  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},
  year         = {2020},
}