On asymptotic stability of noncharacteristic viscous boundary layers
| dc.creator | Nguyen, Toan | |
| dc.date | 2008-12-30 | |
| dc.date | 2008-12-31 | |
| dc.date.accessioned | 2026-07-07T12:23:12Z | |
| dc.date.available | 2026-07-07T12:23:12Z | |
| dc.description | We extend our recent work with K. Zumbrun on long-time stability of multi-dimensional noncharacteristic viscous boundary layers of a class of symmetrizable hyperbolic-parabolic systems. Our main improvements are (i) to establish the stability for a larger class of systems in dimensions $d\ge 2$, yielding the result for certain magnetohydrodynamics (MHD) layers; (ii) to drop a technical assumption on the so--called glancing set which was required in previous works. We also provide a different proof of low-frequency estimates by employing the method of Kreiss' symmetrizers, replacing the one relying on detailed derivation of pointwise bounds on the resolvent kernel. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0812.5068 | |
| dc.identifier | http://arxiv.org/abs/0812.5068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213908 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.title | On asymptotic stability of noncharacteristic viscous boundary layers | |
| dc.type | text |