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Stability analysis of resistive wall kink modes in rotating plasmas.

The stability analysis of external magnetohydrodynamic modes is carried out for a cylindrical plasma in the presence of a resistive wall, plasma flow, and coupling to the sound wave continuous spectrum. It is confirmed that the resonance of the mode with the sound continuum produces an effective dissipation. The combined effects of dissipation and plasma flow open up a window of stability to the external kinks. This theory can explain the numerical results of A. Bondeson and D. J. Ward [Phys. Rev. Lett. {bold 72}, 2709 (1994)].