{
  "id": "1307.7837",
  "version": "v1",
  "published": "2013-07-30T06:38:41.000Z",
  "updated": "2013-07-30T06:38:41.000Z",
  "title": "Asymptotics of solutions to the Navier-Stokes system in exterior domains",
  "authors": [
    "Dragos Iftimie",
    "Grzegorz Karch",
    "Christophe Lacave"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the incompressible Navier-Stokes equations with the Dirichlet boundary condition in an exterior domain of $\\mathbb{R}^n$ with $n\\geq2$. We compare the long-time behaviour of solutions to this initial-boundary value problem with the long-time behaviour of solutions of the analogous Cauchy problem in the whole space $\\mathbb{R}^n$. We find that the long-time asymptotics of solutions to both problems coincide either in the case of small initial data in the weak $L^{n}$-space or for a certain class of large initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-30T06:38:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05",
      "35Q35"
    ],
    "keywords": [
      "exterior domain",
      "navier-stokes system",
      "asymptotics",
      "long-time behaviour",
      "small initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.7837I"
    }
  }
}