Abstract

AbstractWe prove existence, uniqueness and exponential stability of stationary Navier–Stokes flows with prescribed flux in an unbounded cylinder of ℝn,n⩾3, with several exits to infinity provided the total flux and external force are sufficiently small. The proofs are based on analytic semigroup theory, perturbation theory and Lr − Lq‐estimates of a perturbation of the Stokes operator in Lq‐spaces. Copyright © 2006 John Wiley & Sons, Ltd.

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