On the decrease of kinetic energy with depth in wave–current interactions
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/60ed85a2-8309-4a07-a0a2-740fb06e4051
- author
- Aleman, A. LU and Constantin, A. LU
- organization
- publishing date
- 2020-12
- 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}}, }