{
  "id": "2405.19488",
  "version": "v1",
  "published": "2024-05-29T20:07:01.000Z",
  "updated": "2024-05-29T20:07:01.000Z",
  "title": "Div-curl problem for non-solenoidal flows with infinite energy and no-slip boundary condition",
  "authors": [
    "Aleksei Gorshkov"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In the paper we study div-curl problem in exterior domain with given condition on infinity and no-slip boundary condition. We will derive moment relations on vorticity and divergence for uniqueness solvability of the problem and present $L_2$-estimates for solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-29T20:07:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "no-slip boundary condition",
      "non-solenoidal flows",
      "infinite energy",
      "study div-curl problem",
      "uniqueness solvability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}