{
  "id": "1509.06015",
  "version": "v1",
  "published": "2015-09-20T13:45:02.000Z",
  "updated": "2015-09-20T13:45:02.000Z",
  "title": "A kinetic equation for repulsive coalescing random jumps in continuum",
  "authors": [
    "Krzysztof Pilorz"
  ],
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "A continuum individual-based model of hopping and coalescing particles is introduced and studied. Its microscopic dynamics are described by a hierarchy of evolution equations obtained in the paper. Then the passage from the micro- to mesoscopic dynamics is performed by means of a Vlasov-type scaling. The existence and uniqueness of the solutions of the corresponding kinetic equation are proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-20T13:45:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "35Q83",
      "82C22"
    ],
    "keywords": [
      "repulsive coalescing random jumps",
      "continuum individual-based model",
      "mesoscopic dynamics",
      "evolution equations",
      "corresponding kinetic equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906015P"
    }
  }
}