N-modal steady water waves with vorticity
Analysis of PDEs
2019-03-18 v2 Mathematical Physics
math.MP
Abstract
The problem for two-dimensional steady gravity driven water waves with vorticity is investigated. Using a multidimensional bifurcation argument, we prove the existence of small-amplitude periodic steady waves with an arbitrary number of crests per period. The role of bifurcation parameters is played by the roots of the dispersion equation.
Keywords
Cite
@article{arxiv.1612.04671,
title = {N-modal steady water waves with vorticity},
author = {Vladimir Kozlov and Evgeniy Lokharu},
journal= {arXiv preprint arXiv:1612.04671},
year = {2019}
}