Steady periodic water waves with constant vorticity: regularity and local bifurcation
Analysis of PDEs
2015-05-14 v2
Abstract
This paper studies periodic traveling gravity waves at the free surface of water in a flow of constant vorticity over a flat bed. Using conformal mappings the free-boundary problem is transformed into a quasilinear pseudodifferential equation for a periodic function of one variable. The new formulation leads to a regularity result and, by use of bifurcation theory, to the existence of waves of small amplitude even in the presence of stagnation points in the flow.
Keywords
Cite
@article{arxiv.0910.0618,
title = {Steady periodic water waves with constant vorticity: regularity and local bifurcation},
author = {Adrian Constantin and Eugen Varvaruca},
journal= {arXiv preprint arXiv:0910.0618},
year = {2015}
}
Comments
Three new figures added, result in Appendix B improved, several new references added