Wave breaking for the Whitham equation with fractional dispersion
Analysis of PDEs
2015-06-23 v1
Abstract
We show wave breaking for the Whitham equation in a range of fractional dispersion, i.e. the solution remains bounded but its slope becomes unbounded in finite time, provided that the initial datum is sufficiently steep.
Keywords
Cite
@article{arxiv.1410.1570,
title = {Wave breaking for the Whitham equation with fractional dispersion},
author = {Vera Mikyoung Hur and Lizheng Tao},
journal= {arXiv preprint arXiv:1410.1570},
year = {2015}
}