The linear stability of tearing modes in a cylindrical plasma subject to a sub-Alfvénic equilibrium shear flow along the equilibrium magnetic field is considered. The equations in the resistive boundary layer at the rational surface are solved numerically using a Fourier transform combined with a finite-element approach. The behaviour of the growth rate as a function of the flow and the various parameters (including a perpendicular fluid viscosity) is obtained. Marginal stability curves showing the dependence of the familiar matching parameter Δ' with flow and shear are also given.
Wood, A. D., O'Riordan, E., Sweeney, N., & Paris, R. B. (2004). Marginal states of the resistive tearing mode with flow in cylindrical geometry. Journal of Plasma Physics, 70(2), 155-161. https://doi.org/10.1017/S0022377803002514