Decay results of solutions to the nonstationary Navier-Stokes equations in half spaces

In this talk, we introduce some asymptotic results for the non-stationary Navier-Stokes flows in the half space. Using the Stokes solution formula, and some new estimates for the Stokes flow in the end-point space, we established large time behavior of the Navier-Stokes flows in half spaces, including the first and second spatial derivatives.