The Steady Motion of a Navier–Stokes Liquid Around a Rigid Body

摘要: Let \({\mathcal {R}}\) be a body moving by prescribed rigid motion in Navier–Stokes liquid {L}}\) that fills the whole space and is subject to given boundary conditions force. Under assumptions that, with respect frame {F}}\) , attached these data are time independent, their magnitude not “too large”, we show existence of one only corresponding steady such velocity field, at generic point x space, decays like |x|−1. These solutions “physically reasonable” sense FINN [10]. In particular, they unique satisfy energy equation. Among other things, this result relevant engineering applications involving orientation particles viscous [14].