In this paper, we continue to construct stationary classical solutions for the incompressible planar flows approximating singular stationary solutions of this problem. This procedure is carried out by constructing solutions for the following elliptic equations {- Delta u = lambda Sigma(k)(j=1) 1(B delta(x0, j)) (u- k(j))(+)(p), in Omega, u = 0 on partial derivative Omega, where 0 < p < 1, Omega subset of R-2 is a bounded simply-connected smooth domain, k(i) (i = 1,..., k) is prescribed positive constant. The result we prove is that for any given non-degenerate critical point x(0) = (x(0,1),......