Capillary-Gravity Water Waves: Modified Flow Force Formulation
Analysis of PDEs
2020-10-20 v1 Mathematical Physics
math.MP
Atmospheric and Oceanic Physics
Abstract
The classical irrotational capillary-gravity water wave problem described by the Euler equations with a nonlinear free surface boundary condition over a flat bed is considered. A modified flow force has been defined and a new formulation of capillary-gravity waves in the framework of the modified flow force function has been developed. Using bifurcation theory, the local existence of waves of small amplitude is proved.
Keywords
Cite
@article{arxiv.2010.09521,
title = {Capillary-Gravity Water Waves: Modified Flow Force Formulation},
author = {Biswajit Basu and Calin Iulian Martin},
journal= {arXiv preprint arXiv:2010.09521},
year = {2020}
}