Stability and eigenfrequency bounds for steady flow of a cylindrical electrostatic plasma

The stability of steady flow of an N-component, warm or cold, cylindrical electrostatic plasma is considered. The plasma is immersed in a magnetic field B₀(r), where r is the radial co-ordinate, which is allowed to have both axial and azimuthal components. The unperturbed quantities are allowed to be arbitrary functions of r consistent with the zero-order equations. A sufficient condition for the stability of a rotating flow to axisymmetric perturbations is obtained.