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

Time: Tue 2023-10-17 14.00 - 15.00

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Kristoffer Varholm, NTNU

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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.