{
  "id": "1905.07216",
  "version": "v1",
  "published": "2019-05-17T11:52:09.000Z",
  "updated": "2019-05-17T11:52:09.000Z",
  "title": "Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise",
  "authors": [
    "Lubomir Banas",
    "Huanyu Yang and",
    "Rongchan Zhu"
  ],
  "comment": "23 pages",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We study the the sharp interface limit of $\\varepsilon$-dependent two dimensional stochastic Cahn-Hilliard equation driven by space-time white noise and conservative noise as $\\varepsilon\\to 0$. In the case when the noise is sufficiently small, by comparing the solutions to equation (1.1) with the approximation solution constructed in [ABC94], we show that the limit of the solutions is also solutions to the deterministic Hele-Shaw problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-17T11:52:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sharp interface limit",
      "singular noise",
      "dimensional stochastic cahn-hilliard equation driven",
      "space-time white noise",
      "deterministic hele-shaw problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}