Wellposedness for the Navier-Stokes flow in the exterior of a rotating obstacle

摘要

In this paper we study the Navier-Stokes boundary-initial value problem in the exterior of a rotating obstacle, in two and three spatial dimensions. We prove the local in time existence and uniqueness of strong solutions. Moreover, we show that the solutions are global in time, in two spatial dimensions. Copyright (c) 2005 John Wiley & Sons, Ltd.