{
  "id": "1712.05360",
  "version": "v1",
  "published": "2017-12-14T17:39:19.000Z",
  "updated": "2017-12-14T17:39:19.000Z",
  "title": "The inviscid limit of Navier-Stokes for analytic data on the half-space",
  "authors": [
    "Toan T. Nguyen",
    "Trinh T. Nguyen"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In their classical work, Caflisch and Sammartino proved the inviscid limit of the incompressible Navier-Stokes equations for well-prepared data with analytic regularity in the half-space. Their proof is based on the detailed construction of Prandtl's boundary layer asymptotic expansions. In this paper, we give a direct proof of the inviscid limit for general analytic data without having to construct Prandtl's boundary correctors. Our analysis makes use of the boundary vorticity formulation and the abstract Cauchy-Kovalevskaya theorem on analytic boundary layer function spaces that capture unbounded vorticity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-14T17:39:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inviscid limit",
      "analytic data",
      "navier-stokes",
      "prandtls boundary layer asymptotic expansions",
      "half-space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}