@article{29e6fcfbe9b84498b66b06f881ce97d0,
title = "Deep-water waves with vorticity: Symmetry and rotational behaviour",
abstract = "We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. It is observed that if the vorticity function has a bounded derivative, then it vanishes as one approaches great depths.",
keywords = "nonlinear partial differential, vorticity, symmetry, water waves, equation",
author = "Mats Ehrnstr{\"o}m",
year = "2007",
language = "English",
volume = "19",
pages = "483--491",
journal = "Discrete and Continuous Dynamical Systems. Series A",
issn = "1553-5231",
publisher = "American Institute of Mathematical Sciences",
number = "3",
}