An alternative formulation of the problem of two-dimensional incompres
sible stationary resistive flows is presented. This formulation is use
d to (a) investigate the conditions under which a recently established
anti-reconnection theorem may be overcome for stationary resistive fl
ows with vanishing viscosity and (b) to rederive a reconnective annihi
lation solution and discuss its properties in the light of the anti-re
connection theorem. (C) 1996 American Institute of Physics.