Kristoffer Varholm: Symmetric doubly periodic gravity-capillary waves with small vorticity

Abstract:

In earlier talks, we have heard about three-dimensional water waves for which the velocity field U is Beltrami. That is, where \(\nabla \times U\) is colinear with U. Inspired by an approach used by Lortz (1970) in the context of magnetohydrostatics, we construct small symmetric doubly-periodic gravity-capillary waves with a non-Beltrami velocity field.