{
  "id": "2010.09027",
  "version": "v1",
  "published": "2020-10-18T16:52:04.000Z",
  "updated": "2020-10-18T16:52:04.000Z",
  "title": "Probabilistic representation of helicity in viscous fluids",
  "authors": [
    "Simon Hochgerner"
  ],
  "categories": [
    "physics.flu-dyn",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "It is shown that the helicity of $3D$ viscous incompressible flow can be identified with the overall linking of the fluid's initial vorticity to the expectation of a stochastic mean field limit. The relevant mean field limit is obtained by following the Lagrangian paths in the stochastic Hamiltonian interacting particle system of [8].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-18T16:52:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "probabilistic representation",
      "viscous fluids",
      "stochastic hamiltonian interacting particle system",
      "relevant mean field limit",
      "stochastic mean field limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}