Details
| Original language | English |
|---|---|
| Pages (from-to) | 407-419 |
| Number of pages | 13 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 14 |
| Issue number | 3 |
| Publication status | Published - 13 Aug 2011 |
Abstract
We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It is found that arbitrarily many critical layers with cat's-eye vortices are possible, with different structure at different levels within the fluid. The corresponding vorticity depends linearly on the stream function.
Keywords
- Critical layers, Small-amplitude waves, Steady water waves, Vorticity
ASJC Scopus subject areas
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of Mathematical Fluid Mechanics, Vol. 14, No. 3, 13.08.2011, p. 407-419.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Steady Water Waves with Multiple Critical Layers
T2 - Interior Dynamics
AU - Ehrnström, Mats
AU - Escher, Joachim
AU - Villari, Gabriele
PY - 2011/8/13
Y1 - 2011/8/13
N2 - We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It is found that arbitrarily many critical layers with cat's-eye vortices are possible, with different structure at different levels within the fluid. The corresponding vorticity depends linearly on the stream function.
AB - We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It is found that arbitrarily many critical layers with cat's-eye vortices are possible, with different structure at different levels within the fluid. The corresponding vorticity depends linearly on the stream function.
KW - Critical layers
KW - Small-amplitude waves
KW - Steady water waves
KW - Vorticity
UR - http://www.scopus.com/inward/record.url?scp=84870864362&partnerID=8YFLogxK
U2 - 10.1007/s00021-011-0068-8
DO - 10.1007/s00021-011-0068-8
M3 - Article
AN - SCOPUS:84870864362
VL - 14
SP - 407
EP - 419
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
SN - 1422-6928
IS - 3
ER -