Particle trajectories in solitary water waves
(2007) In Bulletin of the American Mathematical Society 44(3). p.423-431- Abstract
- Analyzing a free boundary problem for harmonic functions in an infinite planar domain, we prove that in a solitary water wave each particle is transported in the wave direction but slower than the wave speed. As the solitary wave propagates, all particles located ahead of the wave crest are lifted, while those behind it experience a downward motion, with the particle trajectory having asymptotically the same height above the flat bed.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/651141
- author
- Constantin, Adrian LU and Escher, Joachim
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- particle trajectory, solitary wave, potential flow
- in
- Bulletin of the American Mathematical Society
- volume
- 44
- issue
- 3
- pages
- 423 - 431
- publisher
- American Mathematical Society (AMS)
- external identifiers
-
- wos:000246949300004
- scopus:35248855142
- ISSN
- 1088-9485
- language
- English
- LU publication?
- yes
- id
- 98176192-1c2e-4ed6-b09e-a4e55cc87f34 (old id 651141)
- alternative location
- http://www.ams.org/bull/2007-44-03/S0273-0979-07-01159-7/home.html#Abstract
- date added to LUP
- 2016-04-01 12:35:15
- date last changed
- 2022-04-21 17:17:02
@article{98176192-1c2e-4ed6-b09e-a4e55cc87f34,
abstract = {{Analyzing a free boundary problem for harmonic functions in an infinite planar domain, we prove that in a solitary water wave each particle is transported in the wave direction but slower than the wave speed. As the solitary wave propagates, all particles located ahead of the wave crest are lifted, while those behind it experience a downward motion, with the particle trajectory having asymptotically the same height above the flat bed.}},
author = {{Constantin, Adrian and Escher, Joachim}},
issn = {{1088-9485}},
keywords = {{particle trajectory; solitary wave; potential flow}},
language = {{eng}},
number = {{3}},
pages = {{423--431}},
publisher = {{American Mathematical Society (AMS)}},
series = {{Bulletin of the American Mathematical Society}},
title = {{Particle trajectories in solitary water waves}},
url = {{http://www.ams.org/bull/2007-44-03/S0273-0979-07-01159-7/home.html#Abstract}},
volume = {{44}},
year = {{2007}},
}