{
  "id": "1810.01409",
  "version": "v1",
  "published": "2018-10-01T18:30:52.000Z",
  "updated": "2018-10-01T18:30:52.000Z",
  "title": "Blow up at finite time for wave equation in visco-elasticity: a new kind for one spatial variable Emden-Fowler type",
  "authors": [
    "Lakhdar Kassah Laouar",
    "Khaled Zennir",
    "Amar Guesmia"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "For one spatial variable, a new kind of nonlinear wave equation for Emden-Fowler type is considered with boundary value null and initial values. Under certain conditions on the initial data and the exponent p, we exhibit that the visco-elastic term leads our problem to be dissipative and the global solutions still non-exist in L2 at given finite time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-01T18:30:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B44",
      "35D30",
      "35L05"
    ],
    "keywords": [
      "spatial variable emden-fowler type",
      "finite time",
      "visco-elasticity",
      "boundary value null",
      "nonlinear wave equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}