The equations for the perturbation read:
but when the velocity field is:
In the far field  ≫ 1, the viscous stress is dominated by the last term. That is:
The inertia term is dominated by the term:
The error is then given by the ratio:
This becomes unbounded for  ≫ 1, therefore the inertia cannot be ignored in the far field. By taking the curl, Stokes equation gives   Since the body is a source of vorticity,  would become unbounded logarithmically for large  This is certainly unphysical and is known as Stokes' paradox.