Trimodal steady water waves
Analysis of PDEs
2016-09-12 v2 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave generically is a combination of three different Fourier modes, giving rise to a rich and complex variety of wave patterns. The bifurcation argument is based on a blow-up technique, taking advantage of three parameters associated with the vorticity distribution, the strength of the background stream, and the period of the wave.
Keywords
Cite
@article{arxiv.1311.0036,
title = {Trimodal steady water waves},
author = {Mats Ehrnström and Erik Wahlén},
journal= {arXiv preprint arXiv:1311.0036},
year = {2016}
}
Comments
The final publication is available at Springer via http://dx.doi.org/10.1007/s00205-014-0812-3