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 two-dimensional finite-depth gravity water waves with vorticity.
| Original language | English |
|---|---|
| Pages (from-to) | 1436-1456 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2011 |
Subject classification (UKÄ)
- Mathematics
Free keywords
- steady water waves
- critical layers
- vorticity
- two-dimensional
- bifurcation