THE STOKES OPERATOR WITH ROTATION EFFECT IN EXTERIOR DOMAINS
1. I n t r o d u c t i o n a n d re su l t This paper is concerned with some fundamental properties of the Stokes operator with rotation effect in exterior domains as a step for the mathematical analysis of the NavierStokes flow past a rotating obstacle. Let Ό C R 3 be a compact, isolated and rigid obstacle with smooth boundary Γ, and Ω = R 3 \ Ö the exterior domain occupied by a viscous incompressible fluid. Assume tha t the obstacle Ό is rotating about the xß-axis with constant angular velocity ω = (0,0,1) . Set