Regularity and singularity results for the dissipative whitham equation and related surface wave equations

Qianyun Miao, Liutang Xue

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摘要

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.

源语言英语
页（从-至）2141-2190
页数50
期刊Communications in Mathematical Sciences
卷17
期8
DOI
出版状态已出版 - 2019

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Miao, Q., & Xue, L. (2019). Regularity and singularity results for the dissipative whitham equation and related surface wave equations. Communications in Mathematical Sciences, 17(8), 2141-2190. https://doi.org/10.4310/CMS.2019.v17.n8.a4