Ti. Woodward et Jf. Mckenzie, STATIONARY MHD WAVES MODIFIED BY HALL CURRENT COUPLING .2. INCOMPRESSIBLE-FLOW, Planetary and space science, 42(6), 1994, pp. 481-489
In this paper we consider the incompressible limit of the general deve
lopment presented in Woodward and McKenzie [Planet. Space Sci. 42, 463
-479, 1994], who analyze the system of stationary waves generated by a
point source current immersed in a flowing magnetoplasma including Ha
ll current effects. There are two wave modes present in this limit, na
mely the fast and slow modes, both of which are semi-field-aligned, an
d the slow mode experiences a resonance at the proton gyrofrequency. I
n contrast to the compressible situation, the magnetic pressure pertur
bation displays a Laplacian decay in addition to the characteristics o
f the fast and slow modes. Furthermore in the very sub-Alfvenic flow l
imit, the parallel current and magnetic pressure disturbances together
with the associated electric potential perturbation are predominantly
of fast mode character.