  We establish long-time stability of multi-dimensional noncharacteristic
boundary layers of a class of hyperbolic--parabolic systems including the
compressible Navier--Stokes equations with inflow [outflow] boundary
conditions, under the assumption of strong spectral, or uniform Evans,
stability. Evans stabiity has been verified for small-amplitude layers by
Gu\`es, M\'etivier, Williams, and Zumbrun. For large-amplitude layers, it may
be efficiently checked numerically, as done in the one-dimensional case by
Costanzino, Humpherys, Nguyen, and Zumbrun.
