{
  "id": "1901.06744",
  "version": "v1",
  "published": "2019-01-20T22:25:32.000Z",
  "updated": "2019-01-20T22:25:32.000Z",
  "title": "Stationary Solutions of Damped Stochastic 2-dimensional Euler's Equation",
  "authors": [
    "Francesco Grotto"
  ],
  "comment": "24 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Existence of stationary point vortices solution to the damped and stochastically driven Euler's equation on the two dimensional torus is proved, by taking limits of solutions with finitely many vortices. A central limit scaling is used to show in a similar manner the existence of stationary solutions with white noise marginals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-20T22:25:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35R60",
      "60G10",
      "60H15",
      "76B03",
      "76M35"
    ],
    "keywords": [
      "stationary solutions",
      "damped stochastic",
      "stationary point vortices solution",
      "stochastically driven eulers equation",
      "white noise marginals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}