{
  "id": "0704.2491",
  "version": "v2",
  "published": "2007-04-19T09:49:31.000Z",
  "updated": "2007-12-04T16:14:07.000Z",
  "title": "On the Stability Functional for Conservation Laws",
  "authors": [
    "Rinaldo M. Colombo",
    "Graziano Guerra"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This note is devoted to the explicit construction of a functional defined on all pairs of $\\L1$ functions with small total variation, which is equivalent to the $\\L1$ distance and non increasing along the trajectories of a given system of conservation laws. Two different constructions are provided, yielding an extension of the original stability functional by Bressan, Liu and Yang.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-12-04T16:14:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L65"
    ],
    "keywords": [
      "conservation laws",
      "original stability functional",
      "small total variation",
      "explicit construction",
      "equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2491C"
    }
  }
}