On the regularity of deep-water waves with general vorticity distributions
On the regularity of deep-water waves with general vorticity distributions
We prove that the streamlines and the profile of traveling deep-water waves with Hölder continuous vorticity function are smooth, provided there are no stagnation points in the flow. In addition, if the vorticity function is real analytic, then so is the profile of both solitary and periodic traveling deep-water waves. …