{
  "id": "1109.1836",
  "version": "v1",
  "published": "2011-09-08T20:13:27.000Z",
  "updated": "2011-09-08T20:13:27.000Z",
  "title": "Local and global existence for the Lagrangian Averaged Navier-Stokes equations in Besov spaces",
  "authors": [
    "Nathan Pennington"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the existence of short time solutions to the incompressible, isotropic Lagrangian Averaged Navier-Stokes equation with low regularity initial data in Besov spaces $B^{r}_{p,q}(\\mathbb{R}^n)$, $r>n/2p$. When $p=2$ and $n\\geq 3$, we obtain global solutions, provided the parameters $r,q$ and $n$ satisfy certain inequalities. This is an improvement over known analogous Sobolev space results, which required $n=3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-08T20:13:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "besov spaces",
      "global existence",
      "low regularity initial data",
      "isotropic lagrangian averaged navier-stokes equation",
      "short time solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.1836P"
    }
  }
}