{
  "id": "1706.05529",
  "version": "v1",
  "published": "2017-06-17T12:47:13.000Z",
  "updated": "2017-06-17T12:47:13.000Z",
  "title": "The motion of a rigid body and a viscous fluid in a bounded domain in presence of collisions",
  "authors": [
    "Nikolai V. Chemetov",
    "Sarka Necasova"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the motion of a rigid body, governed by the Navier-Stokes equations in a bounded domain. Navier's condition is prescribed on the boundary of the body. We give the global in a time solvability result of weak solution. The result permits a possibility of collisions of the body with the boundary of the domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-17T12:47:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05",
      "76D07",
      "76N10"
    ],
    "keywords": [
      "rigid body",
      "bounded domain",
      "viscous fluid",
      "collisions",
      "time solvability result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}