Asymptotic structure of a Leray solution to the Navier–Stokes flow around a rotating body

Abstract

Consider a body, B, rotating with constant angular velocity, !, and fully submerged in a Navier-Stokes liquid that lls the whole space exterior to B. We analyze the ow of the liquid that is steady with respect to a frame attached to B. Our main theorem shows that the velocity eld, v, of any weak solution, (v;p), in the sense of Leray, has an asymptotic expansion with a suitable Landau solution as leading term, and a remainder decaying point-wise like 1