{
  "id": "1908.03539",
  "version": "v1",
  "published": "2019-08-09T16:59:33.000Z",
  "updated": "2019-08-09T16:59:33.000Z",
  "title": "Random attractors for locally monotone stochastic partial differential equations",
  "authors": [
    "Benjamin Gess",
    "Wei Liu",
    "Andre Schenke"
  ],
  "comment": "33 pages",
  "categories": [
    "math.PR",
    "math.AP",
    "math.DS"
  ],
  "abstract": "We prove the existence of random dynamical systems and random attractors for a large class of locally monotone stochastic partial differential equations perturbed by additive L\\'{e}vy noise. The main result is applicable to various types of SPDE such as stochastic Burgers type equations, stochastic 2D Navier-Stokes equations, the stochastic 3D Leray-$\\alpha$ model, stochastic power law fluids, the stochastic Ladyzhenskaya model, stochastic Cahn-Hilliard type equations, stochastic Kuramoto-Sivashinsky type equations, stochastic porous media equations and stochastic $p$-Laplace equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-09T16:59:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37L55",
      "60H15",
      "35Q35",
      "47H05",
      "35G31"
    ],
    "keywords": [
      "monotone stochastic partial differential equations",
      "locally monotone stochastic partial differential",
      "random attractors",
      "stochastic cahn-hilliard type equations",
      "stochastic power law fluids"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}