{
  "id": "1707.06382",
  "version": "v1",
  "published": "2017-07-20T06:16:47.000Z",
  "updated": "2017-07-20T06:16:47.000Z",
  "title": "Fluid structure system with boundary conditions involving the pressure",
  "authors": [
    "Jean-Jérôme Casanova"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a coupled fluid-structure system involving boundary conditions on the pressure. The fluid is described by the incompressible Navier--Stokes equations in a 2D rectangular type domain where the upper part of the domain is described by a damped Euler--Bernoulli beam equation. Existence and uniqueness of local strong solutions without assumptions of smallness on the initial data is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-20T06:16:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "74F10",
      "76D03",
      "76D05"
    ],
    "keywords": [
      "fluid structure system",
      "boundary conditions",
      "2d rectangular type domain",
      "local strong solutions",
      "damped euler-bernoulli beam equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}