Long-time stability of multi-dimensional noncharacteristic viscous boundary layers
Mathematical Physics
2008-08-01 v2 math.MP
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 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.
Cite
@article{arxiv.0807.4946,
title = {Long-time stability of multi-dimensional noncharacteristic viscous boundary layers},
author = {Toan Nguyen and Kevin Zumbrun},
journal= {arXiv preprint arXiv:0807.4946},
year = {2008}
}
Comments
42 pp. Added comments to Appendix (only change)