{
  "id": "2103.07906",
  "version": "v1",
  "published": "2021-03-14T12:11:42.000Z",
  "updated": "2021-03-14T12:11:42.000Z",
  "title": "Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation",
  "authors": [
    "Siming He"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the passive scalar equations subject to shear flow advection and fractional dissipation. The enhanced dissipation estimates are derived. For classical passive scalar equation ($\\gamma=1$), our result agrees with the sharp one obtained in \\cite{Wei18}",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-14T12:11:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional dissipation",
      "hypoellipticity",
      "passive scalar equations subject",
      "shear flow advection",
      "enhanced dissipation estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}