{
  "id": "1909.05161",
  "version": "v1",
  "published": "2019-09-11T15:57:27.000Z",
  "updated": "2019-09-11T15:57:27.000Z",
  "title": "Ergodicity for singular-degenerate porous media equations",
  "authors": [
    "Marius Neuß"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "The long time behaviour of solutions to generalised stochastic porous media equations on bounded domains with Dirichlet boundary data is studied. We focus on a degenerate form of nonlinearity arising in self-organised criticality. Based on the so-called lower-bound method, the existence and uniqueness of an invariant measure is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-11T15:57:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "76S99",
      "35K59",
      "60H15"
    ],
    "keywords": [
      "singular-degenerate porous media equations",
      "ergodicity",
      "long time behaviour",
      "generalised stochastic porous media equations",
      "dirichlet boundary data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}