| Abstract: |
| We consider the problem of capillary liquid 2D and 3D capillary drops with the presence of constant vorticity. In the 2D case, we show that the problem is well-posed, the rotating circle solution is energetically stable and about it, small oscillations like rotating waves are produced. In the 3D case, we show that if capillary effects are stronger than vorticity ones and the equatorial section of the drop is strictly convex, then the drop is a surface of revolution. |
|