Details
| Original language | English |
|---|---|
| Pages (from-to) | 423-431 |
| Number of pages | 9 |
| Journal | Bulletin of the American Mathematical Society |
| Volume | 44 |
| Issue number | 3 |
| Publication status | Published - 12 Apr 2007 |
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.
Keywords
- Particle trajectory, Potential flow, Solitary wave
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Bulletin of the American Mathematical Society, Vol. 44, No. 3, 12.04.2007, p. 423-431.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Particle trajectories in solitary water waves
AU - Constantin, Adrian
AU - Escher, Joachim
PY - 2007/4/12
Y1 - 2007/4/12
N2 - 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.
AB - 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.
KW - Particle trajectory
KW - Potential flow
KW - Solitary wave
UR - http://www.scopus.com/inward/record.url?scp=35248855142&partnerID=8YFLogxK
U2 - 10.1090/S0273-0979-07-01159-7
DO - 10.1090/S0273-0979-07-01159-7
M3 - Article
AN - SCOPUS:35248855142
VL - 44
SP - 423
EP - 431
JO - Bulletin of the American Mathematical Society
JF - Bulletin of the American Mathematical Society
SN - 0273-0979
IS - 3
ER -