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.
| Original language | English |
|---|---|
| Pages (from-to) | 2141-2190 |
| Number of pages | 50 |
| Journal | Communications in Mathematical Sciences |
| Volume | 17 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2019 |
Keywords
- Global regularity
- Modulus of continuity
- Singularity
- Surface wave equation
- Whitham equation
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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