Small-amplitude steady water waves with critical layers: non-symmetric waves
Mathematical Physics
2019-03-18 v2 math.MP
Abstract
The problem for two-dimensional steady water waves with vorticity is considered. Using methods of spatial dynamics, we reduce the problem to a finite dimensional Hamiltonian system. As an application, we prove the existence of non-symmetric steady water waves when the number of roots of the dispersion equation is greater than 1.
Keywords
Cite
@article{arxiv.1701.04991,
title = {Small-amplitude steady water waves with critical layers: non-symmetric waves},
author = {Evgeniy Lokharu and Vladimir Kozlov},
journal= {arXiv preprint arXiv:1701.04991},
year = {2019}
}