  In two dimensions, we show existence of solutions to the stationary Navier
Stokes equations on weighted spaces $\mathbf{H}^1_0(\omega,\Omega) \times
L^2(\omega,\Omega)$, where the weight belongs to the Muckenhoupt class $A_2$.
We show how this theory can be applied to obtain a priori error estimates for
approximations of the solution to the Navier Stokes problem with singular
sources.
