{
  "id": "1403.4042",
  "version": "v1",
  "published": "2014-03-17T09:41:54.000Z",
  "updated": "2014-03-17T09:41:54.000Z",
  "title": "Remarks on the global solutions of 3-D Navier-Stokes system with one slow variable",
  "authors": [
    "Jean-Yves Chemin",
    "Ping Zhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "By applying Wiegner' method in \\cite{Wiegner}, we first prove the large time decay estimate for the global solutions of a 2.5 dimensional Navier-Stokes system, which is a sort of singular perturbed 2-D Navier-Stokes system in three space dimension. As an application of this decay estimate, we give a simplified proof for the global wellposedness result in \\cite{cg3} for 3-D Navier-Stokes system with one slow variable. Let us also mention that compared with the assumptions for the initial data in \\cite{cg3}, here the assumptions in Theorem \\ref{slowvarsimplifie} are weaker.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-17T09:41:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D03"
    ],
    "keywords": [
      "global solutions",
      "slow variable",
      "large time decay estimate",
      "global wellposedness result",
      "dimensional navier-stokes system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.4042C"
    }
  }
}