{
  "id": "0807.3927",
  "version": "v1",
  "published": "2008-07-24T17:15:06.000Z",
  "updated": "2008-07-24T17:15:06.000Z",
  "title": "On the behaviors of solution near possible blow-up time in the incompressible Euler and related equations",
  "authors": [
    "Dongho Chae"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study behaviors of scalar quantities near the possible blow-up time, which is made of smooth solutions of the Euler equations, Navier-Stokes equations and the surface quasi-geostrophic equations. Integrating the dynamical equations of the scaling invariant norms, we derive the possible blow-up behaviors of the above quantities, from which we obtain new type of blow-up criteria and some necessary conditions for the blow-up.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-24T17:15:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35Q35",
      "76Dxx",
      "76Bxx"
    ],
    "keywords": [
      "blow-up time",
      "incompressible euler",
      "related equations",
      "surface quasi-geostrophic equations",
      "study behaviors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.3927C"
    }
  }
}