{
  "id": "1207.3746",
  "version": "v3",
  "published": "2012-07-16T18:04:47.000Z",
  "updated": "2013-06-20T04:46:32.000Z",
  "title": "Global Well-Posedness of Classical Solutions to the Cauchy problem of Two-Dimensional Baratropic Compressible Navier-Stokes System with Vacuum and Large Initial Data",
  "authors": [
    "Xiangdi Huang",
    "Jing Li"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1205.5342, and with arXiv:1206.4502 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "For smooth initial data, we establish the global existence and uniqueness of strong and classical solutions to the Cauchy problem for the barotropic compressible Navier-Stokes equations in two spatial dimensions with vacuum state as far field and with no restrictions on the size of initial data provided the shear viscosity is a positive constant and the bulk one is $\\lambda = \\rho^{\\beta}$ with $\\beta>4/3$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-06-20T04:46:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional baratropic compressible navier-stokes system",
      "large initial data",
      "cauchy problem",
      "classical solutions",
      "global well-posedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.3746H"
    }
  }
}