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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2937-2949 |
| Number of pages | 13 |
| Journal | Nonlinearity |
| Volume | 27 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 1 2014 |
Keywords
- Wave breaking
- fractional dispersion
- nonlinear nonlocal
- the Whitham equation
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics