Axisymmetric incompressible flows with bounded vorticity

This paper is devoted to the proof of global existence and uniqueness results for the three-dimensional incompressible Euler equations with a particular geometrical structure. The focus is on so-called axisymmetric solutions without swirl and on helicoidal solutions. The aim is to prescribe regularity conditions on the vorticity as close as possible to those formulated in the two-dimensional setting by V. I. Yudovich.