Details
| Original language | English |
|---|---|
| Pages (from-to) | 559-568 |
| Number of pages | 10 |
| Journal | Annals of Mathematics |
| Volume | 173 |
| Issue number | 1 |
| Publication status | Published - 4 Jan 2011 |
Abstract
We prove that the profile of a periodic traveling wave propagating at the surface of water above a flat bed in a flow with a real analytic vorticity must be real analytic, provided the wave speed exceeds the horizontal fluid velocity throughout the flow. The real analyticity of each streamline beneath the free surface holds even if the vorticity is only Hölder continuously differentiable.
ASJC Scopus subject areas
- Mathematics(all)
- Statistics and Probability
- Decision Sciences(all)
- Statistics, Probability and Uncertainty
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In: Annals of Mathematics, Vol. 173, No. 1, 04.01.2011, p. 559-568.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Analyticity of periodic traveling free surface water waves with vorticity
AU - Constantin, Adrian
AU - Escher, Joachim
PY - 2011/1/4
Y1 - 2011/1/4
N2 - We prove that the profile of a periodic traveling wave propagating at the surface of water above a flat bed in a flow with a real analytic vorticity must be real analytic, provided the wave speed exceeds the horizontal fluid velocity throughout the flow. The real analyticity of each streamline beneath the free surface holds even if the vorticity is only Hölder continuously differentiable.
AB - We prove that the profile of a periodic traveling wave propagating at the surface of water above a flat bed in a flow with a real analytic vorticity must be real analytic, provided the wave speed exceeds the horizontal fluid velocity throughout the flow. The real analyticity of each streamline beneath the free surface holds even if the vorticity is only Hölder continuously differentiable.
UR - http://www.scopus.com/inward/record.url?scp=78751610243&partnerID=8YFLogxK
U2 - 10.4007/annals.2011.173.1.12
DO - 10.4007/annals.2011.173.1.12
M3 - Article
AN - SCOPUS:78751610243
VL - 173
SP - 559
EP - 568
JO - Annals of Mathematics
JF - Annals of Mathematics
SN - 0003-486X
IS - 1
ER -