{
  "id": "1109.1332",
  "version": "v1",
  "published": "2011-09-07T01:54:55.000Z",
  "updated": "2011-09-07T01:54:55.000Z",
  "title": "Formation of singularity for compressible viscoelasticity",
  "authors": [
    "Xianpeng Hu",
    "Dehua Wang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The formation of singularity and breakdown of classical solutions to the three-dimensional compressible viscoelasticity and inviscid elasticity are considered. For the compressible inviscid elastic fluids, the finite-time formation of singularity in classical solutions is proved for certain initial data. For the compressible viscoelastic fluids, a criterion in term of the temporal integral of the velocity gradient is obtained for the breakdown of smooth solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-07T01:54:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularity",
      "classical solutions",
      "compressible inviscid elastic fluids",
      "three-dimensional compressible viscoelasticity",
      "inviscid elasticity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.1332H"
    }
  }
}