A variational principle for three-dimensional water waves over Beltrami flows
Mathematical Physics
2018-04-13 v1 Analysis of PDEs
math.MP
Abstract
We consider steady three-dimensional gravity-capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves with relative velocities given by Beltrami vector fields, under general assumptions on the wave profile.
Cite
@article{arxiv.1804.04172,
title = {A variational principle for three-dimensional water waves over Beltrami flows},
author = {Evgeniy Lokharu and Erik Wahlén},
journal= {arXiv preprint arXiv:1804.04172},
year = {2018}
}