  Asymptotic expansion in far-field for the incompressive Navier-Stokes flow
are established. Under moment conditions on the initial vorticity, technique of
renormalization together with Biot-Savard law derives an asymptotic expansion
for the velocity with high-order. Especially scalings and large-time behaviors
of the expansions are clarified. By employing them, time evolution of velocity
in far-field is drawn. As an appendix, asymptotic behavior of solutions as time
variable tends to infinity is given.
