Stationary navier-stokes flow around a rotating obstacle

Consider a viscous incompressible fluid filling the whole 3-dimensional space exterior to a rotating body with constant angular velocity 0). By using a coordinate system attached to the body, the problem is reduced to an equivalent one in a fixed exterior domain. The reduced equation involves the crucial drift operator (omega boolean AND x) center dot del, which is not subordinate to the usual Stokes operator. This paper addresses stationary flows to the reduced problem with an external force f = div F, that is, time-periodic flows to the original one. Generalizing previous results of G. P. Galdi [ 19] we show the existence of a unique solution (del u, p) in the class L-3/2,infinity when both F epsilon L-3/2,infinity and omega are small enough; here L-3/2,infinity is the weak-L-3/2 space.