THE NAVIER-STOKES EQUATIONS OVER UNBOUNDED DOMAINS

摘要

In this paper we apply an operator calculus over unbounded domains, whose complement contains a non-empty open set, to solve the linear Stokes problem in scales of W_q~k(Ω)-spaces over this kind of unbounded domains. This result will be used to investigate the Navier-Stokes equations for steady flows by means of a Banach contraction principle.