Stochastic geometric mechanics with diffeomorphisms

Darryl D. Holm, Erwin Luesink

Research output: Working paperPreprintAcademic

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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).
Original languageEnglish
PublisherArXiv.org
DOIs
Publication statusPublished - 17 Aug 2021

Keywords

  • math-ph
  • math.MP
  • nlin.PS
  • physics.class-ph

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  • Stochastic Geometric Mechanics with Diffeomorphisms

    Holm, D. & Luesink, E., 9 Feb 2022, Geometry and Invariance in Stochastic Dynamics. p. 169-185

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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