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On the decrease of kinetic energy with depth in wave–current interactions

Aleman, A. LU and Constantin, A. LU (2020) In Mathematische Annalen 378(3-4). p.853-872
Abstract

We study wave–current interactions in two-dimensional water flows with constant vorticity over a flat bed. We establish decay rates for the velocity beneath spatially periodic surface waves without any restrictions on the wave amplitude. The approach relies on complex function theory and overcomes the intricacies inherent to nonlinear flow patterns by taking advantage of specific structural properties of the governing equations for water waves.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematische Annalen
volume
378
issue
3-4
pages
20 pages
publisher
Springer
external identifiers
  • scopus:85073811417
ISSN
0025-5831
DOI
10.1007/s00208-019-01910-8
language
English
LU publication?
yes
id
60ed85a2-8309-4a07-a0a2-740fb06e4051
date added to LUP
2019-11-01 10:51:56
date last changed
2022-04-18 18:30:07
@article{60ed85a2-8309-4a07-a0a2-740fb06e4051,
  abstract     = {{<p>We study wave–current interactions in two-dimensional water flows with constant vorticity over a flat bed. We establish decay rates for the velocity beneath spatially periodic surface waves without any restrictions on the wave amplitude. The approach relies on complex function theory and overcomes the intricacies inherent to nonlinear flow patterns by taking advantage of specific structural properties of the governing equations for water waves.</p>}},
  author       = {{Aleman, A. and Constantin, A.}},
  issn         = {{0025-5831}},
  language     = {{eng}},
  number       = {{3-4}},
  pages        = {{853--872}},
  publisher    = {{Springer}},
  series       = {{Mathematische Annalen}},
  title        = {{On the decrease of kinetic energy with depth in wave–current interactions}},
  url          = {{http://dx.doi.org/10.1007/s00208-019-01910-8}},
  doi          = {{10.1007/s00208-019-01910-8}},
  volume       = {{378}},
  year         = {{2020}},
}