{
  "id": "1104.3589",
  "version": "v1",
  "published": "2011-04-18T20:56:06.000Z",
  "updated": "2011-04-18T20:56:06.000Z",
  "title": "Asymptotic stability of Landau solutions to Navier-Stokes system",
  "authors": [
    "Grzegorz Karch",
    "Dominika Pilarczyk"
  ],
  "doi": "10.1007/s00205-011-0415-1",
  "categories": [
    "math.AP"
  ],
  "abstract": "It is known that the three dimensional Navier-Stokes system for an incompressible fluid in the whole space has a one parameter family of explicit stationary solutions, which are axisymmetric and homogeneous of degree -1. We show that these solutions are asymptotically stable under any $L^2$-perturbation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-18T20:56:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D07",
      "76D05",
      "35Q30",
      "35B40"
    ],
    "keywords": [
      "landau solutions",
      "asymptotic stability",
      "dimensional navier-stokes system",
      "explicit stationary solutions",
      "perturbation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2011,
      "month": "Oct",
      "volume": 202,
      "number": 1,
      "pages": 115
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011ArRMA.202..115K"
    }
  }
}