Abstract
A cylindrical MGD configuration comprising an electrically conducting, infinitely extended (cylindrical) jet which is both permeated and contained by stream-aligned magnetic fields is considered. Axisymmetric perturbations are then generated by exposure to a stationary, weak, azimuthal current source. Ignoring relativistic and dissipative effects, asymptotic solutions complying with a radiation condition are established for the steady state. Generally speaking, the disturbed system propagates a discrete superposition of wave functions, each of which is uniquely obtained for either the upstream or downstream region. In the non-trivial cases, there is no axial wave attenuation. However, transverse attenuations are experienced within the fluid-free enveloping field. The various jet-flow regimes are thoroughly examined. It is found, in particular, that a single stationary wave is produced upstream wheneverM< 1,M2+A2[ges ] 2 and λβ < 1, while ifM> 1 andA> 1 an infinity of discrete stationary waves occurs downstream.MandAbeing, respectively, the Mach and Alfvén numbers of the jet; λβ is a parameter involvingM, AandA0(an interface Alfvén number).
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