Long-time stability of multi-dimensional noncharacteristic viscous boundary layers
arXiv:0807.4946
Abstract
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 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.
42 pp. Added comments to Appendix (only change)
References in corpus (5)
- An efficient shooting algorithm for Evans function calculations in large systems
- Stability of strong ideal-gas shock layers
- Asymptotic Behavior of Multidimensional Scalar Relaxation Shocks
- Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic--parabolic systems
- Pointwise Green function bounds and long-time stability of large-amplitude noncharacteristic boundary layers