The linear and nonlinear evolution of the plane magnetized jet, a magn
etohydrodynamic configuration consisting of a plane fluid jet embedded
in a neutral sheet, is examined. At low Alfven number (A = ratio of t
he characteristic Alfven speed to the characteristic flow speed), two
ideally unstable modes are found that correspond to the sinuous and va
ricose modes of the fluid plane jet. Increasing A leads to a stabiliza
tion of both of these modes. For large A there is a separate resistive
ly unstable mode. The ideal varicose mode and the resistive varicose m
ode are distinct modes with similar properties in a given range of A.
A magnetohydrodynamic generalization of the Howard semicircle theorem
indicates that a strong enough magnetic field will damp out all ideal
modes. The stability properties of the two modes are studied in terms
of their perturbation energy balances. The nonlinear evolution is quit
e different for the three modes in terms of time scales and of the pro
perties and spatial location of the small-scale structures that strong
ly modify the initial configuration. The two ideal modes have in commo
n the capability of accelerating the fluid initially at rest in a much
more efficient way than the resistive one. (C) 1998 American Institut
e of Physics.