Explicit Dirichlet-neumann Operator For Water Waves
Analysis of PDEs
2022-11-09 v1 Classical Physics
Abstract
An explicit expression for the Dirichlet-Neumann operator for surface water waves is presented. For non-overturning waves, but without assuming small amplitudes, the formula is first derived in two dimensions, subsequently extrapolated in higher dimensions and with a moving bottom. Although described here for water waves, this elementary approach could be adapted to many other problems having similar mathematical formulations.
Keywords
Cite
@article{arxiv.2209.06490,
title = {Explicit Dirichlet-neumann Operator For Water Waves},
author = {Didier Clamond},
journal= {arXiv preprint arXiv:2209.06490},
year = {2022}
}