{
  "id": "2111.10859",
  "version": "v2",
  "published": "2021-11-21T17:02:26.000Z",
  "updated": "2022-03-13T18:00:30.000Z",
  "title": "Coagulation dynamics under environmental noise: scaling limit to SPDE",
  "authors": [
    "Franco Flandoli",
    "Ruojun Huang"
  ],
  "comment": "51 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove that a system of locally interacting diffusions carrying discrete masses, subject to an environmental noise and undergoing mass coagulation, converges to a system of Stochastic Partial Differential Equations (SPDEs) with Smoluchowski-type nonlinearity. Existence, uniqueness and regularity of the SPDEs are also proven.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-03-13T18:00:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "environmental noise",
      "coagulation dynamics",
      "scaling limit",
      "stochastic partial differential equations",
      "interacting diffusions carrying discrete masses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}