On the problem of equilibrium with flow in toroidal confinement systems and intrinsic rotation

Intrinsic rotation is an important stabilizing effect of interest in toroidal confinement devices. It is a highly complex problem, in which many mechanisms are involved, such as collisional moment transport, fluctuation ion-induced Reynolds and Maxwell stress tensors, charge exchange with neutrals, orbit losses, etc. [1].  However, it is usual to base theoretical treatments on equilibria in which flow is usually ignored. When dealing with small aspect ratio configurations, taking flow into account may be necessary. This work is an attempt to modify some of the existing theories when this refinement is included.
[1] Y. Camenen et al., \textit{Plasma Physics and Controlled Fusion} \textbf{59},  034001 (2017).
[2] J.D. Callen, \textit{Physics of Plasmas} \textbf{17}, 056113 (2010).