{
  "id": "0806.1902",
  "version": "v1",
  "published": "2008-06-11T16:08:48.000Z",
  "updated": "2008-06-11T16:08:48.000Z",
  "title": "Transport equation: extension of classical results for div $b\\in$ BMO",
  "authors": [
    "Piotr B. Mucha"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate the transport equation: $u_t+b \\cdot \\nabla u=0$. Our result improves the criteria on uniqueness of weak solutions, replacing the classical condition: $\\div b \\in L_\\infty$ by $\\div b \\in BMO$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-11T16:08:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35F05",
      "35F10"
    ],
    "keywords": [
      "transport equation",
      "classical results",
      "weak solutions",
      "classical condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.1902M"
    }
  }
}