{
  "id": "1911.02055",
  "version": "v1",
  "published": "2019-11-05T19:46:16.000Z",
  "updated": "2019-11-05T19:46:16.000Z",
  "title": "Existence of steady solutions of Newtonian and Non-Newtonian fluids with right hand sides beyond duality",
  "authors": [
    "Claudiu Mindrila",
    "Sebastian Schwarzacher"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We provide new a-priori estimates for classical Navier-Stokes equations as well as non-Newtonian fluids of power law type with right-hand sides that are not in the natural existence class. The estimates for the Navier-Stokes equation follows by a newly developed comparison method. For the estimates we make use of a newly developed solenoidal Lipschitz truncation (more explicit a relative truncation) that preserves zero boundary values. The estimates imply respective existence results for very weak right hand sides.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-05T19:46:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J40",
      "47J20",
      "47J40",
      "74H30"
    ],
    "keywords": [
      "non-newtonian fluids",
      "steady solutions",
      "developed solenoidal lipschitz truncation",
      "imply respective existence results",
      "weak right hand sides"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}