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Particle trajectories in solitary water waves

Constantin, Adrian LU and Escher, Joachim (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:
author
organization
publishing date
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
Amer Mathematical Soc
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
2007-12-10 11:55:11
date last changed
2017-11-12 03:32:23
@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},
  keyword      = {particle trajectory,solitary wave,potential flow},
  language     = {eng},
  number       = {3},
  pages        = {423--431},
  publisher    = {Amer Mathematical Soc},
  series       = {Bulletin of the American Mathematical Society},
  title        = {Particle trajectories in solitary water waves},
  volume       = {44},
  year         = {2007},
}