Steady water waves with multiple critical layers
arXiv:1004.5227
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, two-dimensional sets of 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.
16 pages, 2 figures. As accepted for publication in SIAM J. Math. Anal