A weighted setting for the stationary Navier Stokes equations under singular forcing

In two dimensions, we show existence of solutions to the stationary Navier Stokes equations on weighted spaces (H^1)0(ω,Ω)×L^2(ω,Ω), where the weight belongs to the Muckenhoupt class A2. 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.