Abstract
A Burgers equation with fractional dispersion is proposed to model waves on the moving surface of a two-dimensional, infinitely deep water under the influence of gravity. For a certain class of initial data, the solution is shown to blow up in finite time.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1465-1474 |
| Number of pages | 10 |
| Journal | Communications on Pure and Applied Analysis |
| Volume | 11 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2012 |
Keywords
- Blowup
- Fractional dispersion
- Nonlinear nonlocal equations
- Surface water waves
ASJC Scopus subject areas
- Analysis
- Applied Mathematics