LAUSR

Abstract The solutions of the stationary Navier-Stokes equations in R n for n ≥ 3 in the scaling invariant Besov spaces are investigated. It is proved that a sequence of bounded smooth external forces whose B ˙ ∞ , 1 − 3 norms converges to zero can produce a sequence of bounded smooth solutions whose B ˙ − 1 ∞ , ∞ norms never converges to zero. Such norm inflation phenomena are shown by constructing the sequence of external forces, as similar to those of initial data proposed by Bourgain-Pavlovic in the non-stationary problem.