Details
| Original language | English |
|---|---|
| Pages (from-to) | 1436-1456 |
| Number of pages | 21 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 43 |
| Issue number | 3 |
| Publication status | Published - 21 Jul 2011 |
Abstract
We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, multimodal waves with several crests and troughs in each period are found. The setting is that of steady twodimensional finite-depth gravity water waves with vorticity.
Keywords
- Critical layers, Steady water waves, Two-dimensional bifurcation, Vorticity
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: SIAM Journal on Mathematical Analysis, Vol. 43, No. 3, 21.07.2011, p. 1436-1456.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Steady Water Waves with Multiple Critical Layers
AU - Ehrnström, Mats
AU - Escher, Joachim
AU - Wahlén, Erik
PY - 2011/7/21
Y1 - 2011/7/21
N2 - We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, multimodal waves with several crests and troughs in each period are found. The setting is that of steady twodimensional finite-depth gravity water waves with vorticity.
AB - We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, multimodal waves with several crests and troughs in each period are found. The setting is that of steady twodimensional finite-depth gravity water waves with vorticity.
KW - Critical layers
KW - Steady water waves
KW - Two-dimensional bifurcation
KW - Vorticity
UR - http://www.scopus.com/inward/record.url?scp=79960410622&partnerID=8YFLogxK
U2 - 10.1137/100792330
DO - 10.1137/100792330
M3 - Article
AN - SCOPUS:79960410622
VL - 43
SP - 1436
EP - 1456
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 3
ER -