  We analyze an axisymmetric equilibrium of a plasma endowed with toroidal and
poloidal velocity fields, with the aim to characterize the influence of the
global motion on the morphology of the magnetic confinement. We construct our
configuration assuming that the poloidal velocity field is aligned with the
poloidal magnetic field lines and, furthermore, we require that the plasma mass
density depend on the magnetic flux function (or equivalently, that the plasma
fluid be incompressible). We then derive a sort of Grad-Shafranov equation for
such an equilibrium and implement it to tokamak relevant situations, with
particular reference to TCV-like profiles. The main result of the present study
concerns the emergence, in configurations associated to a double-null profile,
of a closed surface of null pressure encorporating the two X-points of the
magnetic configuration. This scenario suggests the possible existence of a new
regime of the plasma equilibrium, corresponding to an improved plasma
confinement near the X-points and a consequent reduced power transfer to the
tokamak divertor.
