Pointwise Spatial Decay of Weak Solutions to the Navier-Stokes System in 3D Exterior Domains

We consider L-2-weak solutions to the Navier-Stokes system in a 3D exterior domain. Under the assumptions that the initial data decrease as O(vertical bar x vertical bar(-mu)) when vertical bar x vertical bar -> infinity, for some mu >= 7/ 6, and that the volume force decays sufficiently fast, we show that the velocity decreases pointwise with the rate O(vertical bar x vertical bar|(-min{mu, 13/5})) for vertical bar x vertical bar -> infinity, uniformly with respect to time.