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

作者:Nguyen Toan*; Zumbrun Kevin
来源:Communications in Mathematical Physics, 2010, 299(1): 1-44.
DOI:10.1007/s00220-010-1095-7

摘要

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 GuSs, M,tivier, 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.

  • 出版日期2010-10