{
  "id": "1411.7079",
  "version": "v1",
  "published": "2014-11-26T01:16:13.000Z",
  "updated": "2014-11-26T01:16:13.000Z",
  "title": "Initial-boundary value problem of the Navier-Stokes system in the half space",
  "authors": [
    "Tongkeun Chang",
    "Bum Ja Jin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the initial-boundary value problem of the Navier-Stokes system in the half space. We prove the unique solvability of the weak solution on some short time interval (0, T) with the velocity in $C^{\\alpha, \\frac12 \\alpha} ({\\mathbb R}^n_+ \\times (0, T)), 0 < \\alpha < 1$, when the given initial data is in $C^\\alpha ({\\mathbb R}^n_+)$ and the given boundary data is in $C^{\\alpha, \\frac12 \\alpha} ({\\mathbb R}^{n-1} \\times (0, T))$. Our result generalizes the result in [30] considering nonhomogeneous Dirichlet boundary data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-26T01:16:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "initial-boundary value problem",
      "navier-stokes system",
      "half space",
      "considering nonhomogeneous dirichlet boundary data",
      "short time interval"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.7079C"
    }
  }
}