A variational principle for three-dimensional water waves over Beltrami flows

Published 11 Apr 2018 in math-ph, math.AP, and math.MP | (1804.04172v1)

Abstract: We consider steady three-dimensional gravity-capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves with relative velocities given by Beltrami vector fields, under general assumptions on the wave profile.

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