Communications in Mathematical Physics

, Volume 299, Issue 1, pp 1–44 | Cite as

Long-Time Stability of Multi-Dimensional Noncharacteristic Viscous Boundary Layers

  • Toan Nguyen
  • Kevin ZumbrunEmail author


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 stability has been verified for small-amplitude layers by Guès, Métivier, 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.


Boundary Layer Boundary Term Nonlinear Stability Evans Function Spectral Stability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA

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