{
  "id": "1605.03864",
  "version": "v1",
  "published": "2016-05-12T15:50:24.000Z",
  "updated": "2016-05-12T15:50:24.000Z",
  "title": "On the asymptotic stability of steady flows with nonzero flux in two-dimensional exterior domains",
  "authors": [
    "Julien Guillod"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Navier-Stokes equations in a two-dimensional exterior domain are considered. The asymptotic stability of stationary solutions satisfying a general hypothesis is proven under any $L^2$-perturbation. In particular the general hypothesis is valid if the steady solution is the sum of the critically decaying flux carrier with flux $|\\Phi| < 2\\pi$ and a small subcritically decaying term. Under the central symmetry assumption, the general hypothesis is also proven for any critically decaying steady solutions under a suitable smallness condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-12T15:50:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35B35",
      "76D05"
    ],
    "keywords": [
      "two-dimensional exterior domain",
      "asymptotic stability",
      "steady flows",
      "nonzero flux",
      "general hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}