{
  "id": "0812.5068",
  "version": "v2",
  "published": "2008-12-30T14:16:17.000Z",
  "updated": "2008-12-31T01:42:02.000Z",
  "title": "On asymptotic stability of noncharacteristic viscous boundary layers",
  "authors": [
    "Toan Nguyen"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-12-31T01:42:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic stability",
      "multi-dimensional noncharacteristic viscous boundary layers",
      "low-frequency estimates",
      "larger class",
      "long-time stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.5068N"
    }
  }
}