Abstract
We consider the amplitude decay for the linearized equations governing irrotational vortex sheets and water waves with surface tension. Using oscillatory integral estimates, we prove that the magnitude of the amplitude decays faster than t-1/3.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 521-547 |
| Number of pages | 27 |
| Journal | Communications in Mathematical Sciences |
| Volume | 7 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2009 |
Keywords
- Dispersive estimates
- Oscillatory integrals
- Strichartz estimates
- Surface tension
- Vortex sheets
- Water waves