{
  "id": "2206.14239",
  "version": "v1",
  "published": "2022-06-28T18:37:30.000Z",
  "updated": "2022-06-28T18:37:30.000Z",
  "title": "Exponential mixing by shear flows",
  "authors": [
    "William Cooperman"
  ],
  "comment": "13 pages, 3 figures, comments welcome!",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove a version of Bressan's mixing conjecture where the advecting field is constrained to be a shear at each time. Also, inspired by recent work of Blumenthal, Coti Zelati and Gvalani, we construct a particularly simple example of a shear flow which mixes at the optimal rate. The constructed vector field alternates randomly in time between just two distinct shears.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-28T18:37:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q49",
      "37H05"
    ],
    "keywords": [
      "shear flow",
      "exponential mixing",
      "constructed vector field alternates",
      "optimal rate",
      "coti zelati"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}