Asymptotic profiles of steady Stokes and Navier–Stokes flows around a rotating obstacle

Abstract

We analyze the spatial anisotropic profiles at infinity of steady Stokes and Navier-Stokes flows around a rotating obstacle. It is shown that the Stokes flow is largely concentrated along the axis of rotation in the leading term and that a rotating profile can be found in the second term. The leading term for Navier-Stokes flow will be an adequate Landau solution. The proofs rely upon a detailed analysis of the associated fundamental solution tensor.