{
  "id": "2108.07853",
  "version": "v1",
  "published": "2021-08-17T19:55:35.000Z",
  "updated": "2021-08-17T19:55:35.000Z",
  "title": "Stochastic geometric mechanics with diffeomorphisms",
  "authors": [
    "Darryl D. Holm",
    "Erwin Luesink"
  ],
  "comment": "10 pages, for book chapter",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.PS",
    "physics.class-ph"
  ],
  "abstract": "Noether's celebrated theorem associating symmetry and conservation laws in classical field theory is adapted to allow for broken symmetry in geometric mechanics and is shown to play a central role in deriving and understanding the generation of fluid circulation via the Kelvin-Noether theorem for ideal fluids with stochastic advection by Lie transport (SALT).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-17T19:55:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic geometric mechanics",
      "diffeomorphisms",
      "noethers celebrated theorem associating symmetry",
      "lie transport",
      "stochastic advection"
    ],
    "tags": [
      "book chapter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}