@article{9bbdbf6941d14d96818c7c1fba50408e,
title = "Regularity and singularity results for the dissipative whitham equation and related surface wave equations",
abstract = "We consider the cauchy problem for the whitham equation and related surface wave equations with (fractional) dissipation. we prove global regularity results at the subcritical and critical dissipative cases by applying the method of modulus of continuity, and we show a finite-time singularity result at the supercritical dissipative case.",
keywords = "Global regularity, Modulus of continuity, Singularity, Surface wave equation, Whitham equation",
author = "Qianyun Miao and Liutang Xue",
note = "Publisher Copyright: {\textcopyright} 2019 International Press.",
year = "2019",
doi = "10.4310/CMS.2019.v17.n8.a4",
language = "English",
volume = "17",
pages = "2141--2190",
journal = "Communications in Mathematical Sciences",
issn = "1539-6746",
publisher = "International Press of Boston, Inc.",
number = "8",
}