Existence and exponential stability in L-r-spaces of stationary Navier-Stokes flows with prescribed flux in infinite cylindrical domains

摘要

We prove existence, uniqueness and exponential stability of stationary Navier-Stokes flows with prescribed flux in an unbounded cylinder of R-n, 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 L-r-L-q-estimates of a perturbation of the Stokes operator in L-q-spaces. Copyright (C) 2006 John Wiley & Sons, Ltd.