Abstract
This paper is devoted to the stabilization of the two-dimensional water-wave equations with surface tension through an external pressure acting on a small part of the free surface. It is proved that the energy decays to zero exponentially in time, provided that the external pressure is given by the normal component of the velocity at the free surface multiplied by an appropriate cut-off function.
| Original language | English |
|---|---|
| Article number | 17 |
| Journal | Annals of PDE |
| Volume | 3 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Dec 2017 |
| Externally published | Yes |
Keywords
- Multiplier method
- Stabilization
- Water waves