{
  "id": "0904.1354",
  "version": "v1",
  "published": "2009-04-08T14:39:33.000Z",
  "updated": "2009-04-08T14:39:33.000Z",
  "title": "Well-posedness in critical spaces for the system of Navier-Stokes compressible",
  "authors": [
    "Boris Haspot"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is dedicated to the study of viscous compressible barotropic fluids in dimension $N\\geq2$. We address the question of well-posedness for {\\it large} data having critical Besov regularity. Our result improve the analysis of R. Danchin and of B. Haspot, by the fact that we choose initial density more general in $B^{\\NN}_{p,1}$ with $1\\leq p<+\\infty$. Our result relies on a new a priori estimate for the velocity, where we introduce a new structure to \\textit{kill} the coupling between the density and the velocity. In particular our result is the first where we obtain uniqueness without imposing hypothesis on the gradient of the density.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-08T14:39:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical spaces",
      "navier-stokes compressible",
      "well-posedness",
      "choose initial density",
      "viscous compressible barotropic fluids"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.1354H"
    }
  }
}