@techreport{e3d5d37606c24588af0af9db700b9385,
title = "Stochastic geometric mechanics with diffeomorphisms",
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). ",
keywords = "math-ph, math.MP, nlin.PS, physics.class-ph",
author = "Holm, {Darryl D.} and Erwin Luesink",
note = "10 pages, for book chapter",
year = "2021",
month = aug,
day = "17",
doi = "10.48550/arXiv.2108.07853",
language = "English",
publisher = "ArXiv.org",
type = "WorkingPaper",
institution = "ArXiv.org",
}