{
  "id": "1301.4420",
  "version": "v1",
  "published": "2013-01-18T16:20:07.000Z",
  "updated": "2013-01-18T16:20:07.000Z",
  "title": "Long-time behavior for the two-dimensional motion of a disk in a viscous fluid",
  "authors": [
    "Sylvain Ervedoza",
    "Matthieu Hillairet",
    "Christophe Lacave"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this article, we study the long-time behavior of solutions of the two-dimensional fluid-rigid disk problem. The motion of the fluid is modeled by the two-dimensional Navier-Stokes equations, and the disk moves under the influence of the forces exerted by the viscous fluid. We first derive $L^p$-$L^q$ decay estimates for the linearized equations and compute the first term in the asymptotic expansion of the solutions of the linearized equations. We then apply these computations to derive time-decay estimates for the solutions to the full Navier-Stokes fluid-rigid disk system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-18T16:20:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-time behavior",
      "viscous fluid",
      "two-dimensional motion",
      "full navier-stokes fluid-rigid disk system",
      "two-dimensional fluid-rigid disk problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-1884-5",
      "journal": "Communications in Mathematical Physics",
      "year": 2014,
      "month": "Jul",
      "volume": 329,
      "number": 1,
      "pages": 325
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014CMaPh.329..325E"
    }
  }
}