{
  "id": "1101.4070",
  "version": "v1",
  "published": "2011-01-21T05:05:58.000Z",
  "updated": "2011-01-21T05:05:58.000Z",
  "title": "Smooth Attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities",
  "authors": [
    "Varga K. Kalantarov",
    "Sergey Zelik"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the existence of regular dissipative solutions and global attractors for the 3D Brinkmann-Forchheimer equations with the nonlinearity of an arbitrary polynomial growth rate. In order to obtain this result, we prove the maximal regularity estimate for the corresponding semi-linear stationary Stokes problem using some modification of the nonlinear localization technique. The applications of our results to the Brinkmann-Forchheimer equation with the Navier-Stokes inertial term are also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-21T05:05:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B41"
    ],
    "keywords": [
      "nonlinearity",
      "fast growing nonlinearities",
      "smooth attractors",
      "brinkman-forchheimer equations",
      "corresponding semi-linear stationary stokes problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}