{
  "id": "2107.05703",
  "version": "v1",
  "published": "2021-07-12T19:39:01.000Z",
  "updated": "2021-07-12T19:39:01.000Z",
  "title": "$C^{0,α}$ boundary regularity for the pressure in weak formulation of the Euler equations",
  "authors": [
    "Claude W. Bardos",
    "Edriss S. Titi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The purpose of this note is to give a complete proof of a $C^{0,\\alpha}$ regularity result for the pressure for weak solutions of the ``incompressible Euler equations\" when the fluid velocity enjoys the same type of regularity in a compact simply connected domain with $C^2$ boundary. To accomplish our result we realize that it is compulsory to introduce a new weak formulation for the boundary condition of the pressure which is consistent with that of classical solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-12T19:39:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35Q31"
    ],
    "keywords": [
      "weak formulation",
      "boundary regularity",
      "fluid velocity enjoys",
      "weak solutions",
      "complete proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}