Stochastic geometric mechanics with diffeomorphisms
Mathematical Physics
2021-08-19 v1 math.MP
Pattern Formation and Solitons
Classical Physics
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).
Cite
@article{arxiv.2108.07853,
title = {Stochastic geometric mechanics with diffeomorphisms},
author = {Darryl D. Holm and Erwin Luesink},
journal= {arXiv preprint arXiv:2108.07853},
year = {2021}
}
Comments
10 pages, for book chapter