On three-dimensional free surface water flows with constant vorticity

<p style='text-indent:20px;'>We present a survey of recent results on gravity water flows satisfying the three-dimensional wave problem with constant (non-vanishing) vorticity vector. The main focus is to show that flow non-vanishing has two-dimensional character in spite equations. More precisely, does not change one two horizontal directions. Passing rotating frame, and introducing thus geophysical effects (in form Coriolis acceleration) into governing equations, remains place. However, two-dimensionality manifests now plane. Adding also centripetal terms equations further simplifies (under assumption vector): velocity field vanishes, but, however, pressure function quadratic polynomial vertical variables, and, surprisingly, surface non-flat.</p>