{
  "id": "2312.16395",
  "version": "v1",
  "published": "2023-12-27T03:55:33.000Z",
  "updated": "2023-12-27T03:55:33.000Z",
  "title": "On the local existence of solutions to the fluid-structure interaction problem with a free interface",
  "authors": [
    "Igor Kukavica",
    "Linfeng Li",
    "Amjad Tuffaha"
  ],
  "comment": "22 pages. arXiv admin note: substantial text overlap with arXiv:2104.13500",
  "categories": [
    "math.AP"
  ],
  "abstract": "We address a system of equations modeling an incompressible fluid interacting with an elastic body. We prove the local existence when the initial velocity belongs to the space $H^{1.5+\\epsilon}$ and the initial structure velocity is in $H^{1+\\epsilon}$, where $\\epsilon \\in (0, 1/20)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-27T03:55:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluid-structure interaction problem",
      "local existence",
      "free interface",
      "initial structure velocity",
      "initial velocity belongs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}