Steady water waves with multiple critical layers: interior dynamics
Mathematical Physics
2015-05-18 v2 Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.1004.5237,
title = {Steady water waves with multiple critical layers: interior dynamics},
author = {Mats Ehrnström and Joachim Escher and Gabriele Villari},
journal= {arXiv preprint arXiv:1004.5237},
year = {2015}
}
Comments
14 pages, 3 figures. As accepted for publication in J. Math. Fluid Mech