Spatial Asymptotic Profiles of Solutions to the Navier-Stokes System in a Rotating Frame with Fast Decaying Data

Abstract

The nonstationary Navier-Stokes system for a viscous, incompressible fluid influenced by a Coriolis force in the whole space R3 is considered at large distances. The solvability of the corresponding integral equations of these equations in weighted L∞-spaces is established. Furthermore, the leading terms of the asymptotic profile of the solution at fixed time t > 0 for |x| > t and far from the axis of rotation are investigated.