An existence theory for small-amplitude doubly periodic water waves with vorticity
arXiv:1908.02655 · doi:10.1007/s00205-020-01550-2
Abstract
We prove the existence of three-dimensional steady gravity-capillary waves with vorticity on water of finite depth. The waves are periodic with respect to a given two-dimensional lattice and the relative velocity field is a Beltrami field, meaning that the vorticity is collinear to the velocity. The existence theory is based on multi-parameter bifurcation theory.
arXiv commentArch Rational Mech Anal (2020), Online First
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