Local-in-time existence of free-surface 3D Euler flow with $H^{2+\delta }$ initial vorticity in a neighborhood of the free boundary

Igor Kukavica, Wojciech S. Ożański

We consider the three-dimensional Euler equations in a domain with a free boundary with no surface tension. We assume that $u_0\in H^{2.5+\delta }$ is such that $\mathrm{curl}\,u_0 \in…