{
  "id": "1809.06847",
  "version": "v1",
  "published": "2018-09-18T17:58:45.000Z",
  "updated": "2018-09-18T17:58:45.000Z",
  "title": "$L^{p}$-solutions of the Navier-Stokes equation with fractional Brownian noise",
  "authors": [
    "Bendetta Ferrario",
    "Christian Olivera"
  ],
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We study the Navier-Stokes equations on a smooth bounded domain $D\\subset \\mathbb R^d$ ($d=2$ or 3), under the effect of an additive fractional Brownian noise. We show local existence and uniqueness of a mild $L^p$-solution for $p>d$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-18T17:58:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "navier-stokes equation",
      "additive fractional brownian noise",
      "smooth bounded domain",
      "local existence",
      "uniqueness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}