A general class of solutions is found for the resistive
hydromagnetic equation. The
results are applied to the case of a prescribed stagnation point flow.
It is shown that
general solutions with magnetic null points exist. Scaling laws
for the length and the
width of the current sheet of the solutions are given for the
general case. It is shown
that the length of the current sheet increases with magnetic Reynolds number
unless the outflow boundary conditions prevent the sheet length from growing.
The latter would result in the appearance of boundary layers in the outflow