{
  "id": "2005.05429",
  "version": "v1",
  "published": "2020-05-11T20:52:39.000Z",
  "updated": "2020-05-11T20:52:39.000Z",
  "title": "Well-posedness for a family of degenerate parabolic mixed equations",
  "authors": [
    "Ramiro Acevedo",
    "Christian Gómez",
    "Bibiana López Rodríguez"
  ],
  "comment": "This work has 21 pages and only one figure in format eps",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "The aim of this work is to show an abstract framework to analyze a family of linear degenerate parabolic mixed equations. We combine the theory for the degenerate parabolic equations with the classical Babuska-Brezzi theory for linear mixed stationary equations to deduce sufficient conditions to prove the well-posedness of the problem. Finally, we illustrate the application of the abstract framework through examples that come from physical science applications including fluid dynamics models and electromagnetic problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-11T20:52:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "well-posedness",
      "abstract framework",
      "linear degenerate parabolic mixed equations",
      "deduce sufficient conditions",
      "linear mixed stationary equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}