{
  "id": "1611.06166",
  "version": "v1",
  "published": "2016-11-18T17:28:54.000Z",
  "updated": "2016-11-18T17:28:54.000Z",
  "title": "Eternal Solutions Of The Burgers Equation",
  "authors": [
    "Nicholas Alikakos",
    "Dimitrios Gazoulis"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Solutions that satisfy classically the Burgers equation except, perhaps, on a closed set S of the plane of potential singularities whose Hausdorff 1-measure is zero, $H^1(S) = 0$, are necessarily identically constant. We show this under the additional hypothesis that $S$ is a subset of a finite union of smooth graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-18T17:28:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "burgers equation",
      "eternal solutions",
      "potential singularities",
      "additional hypothesis",
      "finite union"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}