{
  "id": "1408.6775",
  "version": "v1",
  "published": "2014-08-28T16:54:57.000Z",
  "updated": "2014-08-28T16:54:57.000Z",
  "title": "Singularity formation for compressible Euler equations",
  "authors": [
    "Geng Chen",
    "Ronghua Pan",
    "Shengguo Zhu"
  ],
  "comment": "32 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, for the p-system and full compressible Euler equations in one space dimension, we provide an equivalent and a sharp condition on initial data, respectively, under which the classical solution must break down in finite time. Moreover, we provide time-dependent lower bounds on density for arbitrary classical solutions for these two equations. Our results have no restriction on the size of solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-28T16:54:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76N15",
      "35L65",
      "35L67"
    ],
    "keywords": [
      "singularity formation",
      "full compressible euler equations",
      "time-dependent lower bounds",
      "initial data",
      "sharp condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.6775C"
    }
  }
}