Notes on the space-time decay rate of the Stokes flows in the half space

In this paper, a Stokes equations in the half space R+n, n≥2 has been considered. We derive a rapid decay rate of the Stokes flow in space and time when the initial data decreases fast enough and satisfies some additional condition. Initial data decreasing too slowly to be |x|h∈L1(R+n) are also considered.