Viscous Splitting for the Exterior Problem of Navier-Stokes Equations

The viscous splitting for the exterior initial boundary problems of the Navier-Stokes equation whose solutions are nonzero at infinity is considered. It is proved that the differences of the apporimate solutions and the exact solutions are uniformly bounded in the space L∞(O, T; H5+1(Ω)), s3/2; and converge with a rate of O(k) in the space L∞(O, T; H1(Ω)), where k is the length of time steps.