We study the stationary Stokes and Navier-Stokes equations with non-homogeneous Navier boundary condition in a bounded domain Ω ⊂ R 3 of class C 1,1 . We prove the existence, uniqueness of weak and strong solutions in W 1,p (Ω) and W 2,p (Ω) for all 1 < p < ∞ considering minimal regularity on the friction coefficient α. Moreover, we deduce uniform estimates on the solution with respect to α which enables us to analyze the behavior of the solution when α → ∞.

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