On Whitham and related equations
Analysis of PDEs
2017-06-28 v1
Abstract
The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations. In particular we establish rigorous bounds between solutions of the Whitham and KdV equations and provide some insights into the dynamics of the Whitham equation in different regimes, some of them being outside the range of validity of the Whitham equation as a water waves model.
Keywords
Cite
@article{arxiv.1706.08712,
title = {On Whitham and related equations},
author = {C. Klein and F. Linares and D. Pilod and J. -C. Saut},
journal= {arXiv preprint arXiv:1706.08712},
year = {2017}
}