{
  "id": "2012.02450",
  "version": "v1",
  "published": "2020-12-04T08:11:43.000Z",
  "updated": "2020-12-04T08:11:43.000Z",
  "title": "Well-posedness for the Boussinesq system in critical spaces via maximal regularity",
  "authors": [
    "Lorenzo Brandolese",
    "Sylvie Monniaux"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We establish the existence and the uniqueness for the Boussinesq system in the whole 3D space in the critical space of continuous in time with values in the power 3 integrable in space functions for the velocity and square integrable in time with values in the power 3/2 integrable in space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-04T08:11:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boussinesq system",
      "critical space",
      "maximal regularity",
      "well-posedness",
      "3d space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}