Exterior Stationary Navier–Stokes Flows in 3D with Nonzero Velocity at Infinity: Asymptotic Behavior of the Second Derivatives of the Velocity

Abstract

ABSTRACT We consider stationary incompressible Navier–Stokes flows in an exterior domain. Under the assumption that the velocity at infinity is nonzero, we study how the second derivatives of the velocity and the gradient of the pressure behave far from the complement of the exterior domain.