{
  "id": "1309.5059",
  "version": "v3",
  "published": "2013-09-19T17:39:49.000Z",
  "updated": "2014-10-19T01:12:00.000Z",
  "title": "Compressible Euler equation with damping on Torus in arbitrary dimensions",
  "authors": [
    "Nan Lu"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "We study the exponential stability of constant steady state of isentropic compressible Euler equation with damping on $\\mathbb T^n$. The local existence of solutions is based on semigroup theory and some commutator estimates. We propose a new method instead of energy estimates to study the stability, which works equally well for any spatial dimensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-30T11:52:04.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-19T01:12:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary dimensions",
      "constant steady state",
      "isentropic compressible euler equation",
      "exponential stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.5059L"
    }
  }
}