{
  "id": "0808.3051",
  "version": "v1",
  "published": "2008-08-22T09:56:30.000Z",
  "updated": "2008-08-22T09:56:30.000Z",
  "title": "Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces",
  "authors": [
    "Baoquan Yuan",
    "Jia Yuan"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the model of heat transfer in a porous medium with a critical diffusion. We obtain global existence and uniqueness of solutions to the equations of heat transfer of incompressible fluid in Besov spaces $\\dot B^{3/p}_{p,1}(\\mathbb{R}^3)$ with $1\\le p\\le\\infty$ by the method of modulus of continuity and Fourier localization technique.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-22T09:56:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76S05",
      "76D03"
    ],
    "keywords": [
      "besov spaces",
      "porous medium",
      "critical diffusion",
      "global well-posedness",
      "incompressible flow"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2009.01.022",
      "journal": "Journal of Differential Equations",
      "year": 2009,
      "volume": 246,
      "number": 11,
      "pages": 4405
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JDE...246.4405Y"
    }
  }
}