For sigma --> infinity and for axisymmetric geometry, Ohm's law is wri
tten for some specific cases in a form similar to the Grad-Shafranov e
quation describing equilibrium MHD configurations. Certain distinctive
features of the derived equations are considered. In the limiting cas
e v(i) --> 0, a transformation of the ''three-flux'' set of equations
(written in the Morozov-Solov'ev form) for axisymmetric steady flows o
f an ideal two-component plasma to the Grad-Shafranov equation is anal
yzed.