An existence theory for small-amplitude doubly periodic water waves with vorticity
Analysis of PDEs
2020-07-28 v2 Fluid Dynamics
Abstract
We prove the existence of three-dimensional steady gravity-capillary waves with vorticity on water of finite depth. The waves are periodic with respect to a given two-dimensional lattice and the relative velocity field is a Beltrami field, meaning that the vorticity is collinear to the velocity. The existence theory is based on multi-parameter bifurcation theory.
Keywords
Cite
@article{arxiv.1908.02655,
title = {An existence theory for small-amplitude doubly periodic water waves with vorticity},
author = {Evgeniy Lokharu and Douglas Svensson Seth and Erik Wahlén},
journal= {arXiv preprint arXiv:1908.02655},
year = {2020}
}
Comments
Arch Rational Mech Anal (2020), Online First