{
  "id": "0905.1854",
  "version": "v2",
  "published": "2009-05-12T14:00:09.000Z",
  "updated": "2009-11-29T06:37:33.000Z",
  "title": "Large deviation principle and inviscid shell models",
  "authors": [
    "Hakima Bessaih",
    "Annie Millet"
  ],
  "journal": "Electronic Journal of Probability 14, 89 (2009) 2551-2579",
  "categories": [
    "math.PR"
  ],
  "abstract": "A LDP is proved for the inviscid shell model of turbulence. As the viscosity coefficient converges to 0 and the noise intensity is multiplied by the square root of the viscosity, we prove that some shell models of turbulence with a multiplicative stochastic perturbation driven by a H-valued Brownian motion satisfy a LDP in C([0,T],V) for the topology of uniform convergence on [0,T], but where V is endowed with a topology weaker than the natural one. The initial condition has to belong to V and the proof is based on the weak convergence of a family of stochastic control equations. The rate function is described in terms of the solution to the inviscid equation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-11-29T06:37:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "60F10",
      "76D06",
      "76M35"
    ],
    "keywords": [
      "inviscid shell model",
      "large deviation principle",
      "stochastic control equations",
      "multiplicative stochastic perturbation driven",
      "viscosity coefficient converges"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1854B"
    }
  }
}