On the existence of steady periodic capillary-gravity stratified water waves
Analysis of PDEs
2013-05-27 v1
Abstract
We prove the existence of small steady periodic capillary-gravity water waves for general stratified flows, where we allow for stagnation points in the flow. We establish the existence of both laminar and non-laminar flow solutions for the governing equations. This is achieved by using bifurcation theory and estimates based on the ellipticity of the system, where we regard, in turn, the mass-flux and surface tension as bifurcation parameters.
Keywords
Cite
@article{arxiv.1305.5802,
title = {On the existence of steady periodic capillary-gravity stratified water waves},
author = {David Henry and Bogdan-Vasile Matioc},
journal= {arXiv preprint arXiv:1305.5802},
year = {2013}
}
Comments
17 pages, to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci