{
  "id": "1007.3401",
  "version": "v1",
  "published": "2010-07-20T11:55:51.000Z",
  "updated": "2010-07-20T11:55:51.000Z",
  "title": "Smooth solutions for the dyadic model",
  "authors": [
    "David Barbato",
    "Francesco Morandin",
    "Marco Romito"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the dyadic model, which is a toy model to test issues of well-posedness and blow-up for the Navier-Stokes and Euler equations. We prove well-posedness of positive solutions of the viscous problem in the relevant scaling range which corresponds to Navier-Stokes. Likewise we prove well-posedness for the inviscid problem (in a suitable regularity class) when the parameter corresponds to the strongest transport effect of the non-linearity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-20T11:55:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D03",
      "76B03",
      "35Q35",
      "35Q30",
      "76D05",
      "35Q31"
    ],
    "keywords": [
      "dyadic model",
      "smooth solutions",
      "well-posedness",
      "strongest transport effect",
      "navier-stokes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/24/11/004",
      "journal": "Nonlinearity",
      "year": 2011,
      "month": "Nov",
      "volume": 24,
      "number": 11,
      "pages": 3083
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011Nonli..24.3083B"
    }
  }
}