Stochastic Geometric Mechanics with Diffeomorphisms

Darryl Holm; Erwin Luesink

doi:10.1007/978-3-030-87432-2_9

Stochastic Geometric Mechanics with Diffeomorphisms

Darryl Holm, Erwin Luesink

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

1 Citation (Scopus)

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 language	English
Title of host publication	Geometry and Invariance in Stochastic Dynamics
Pages	169-185
DOIs	https://doi.org/10.1007/978-3-030-87432-2_9
Publication status	Published - 9 Feb 2022
Externally published	Yes
Event	Geometry and Invariance in Stochastic Dynamics 2019 - Verona, Italy Duration: 25 Mar 2019 → 29 Mar 2019

Conference

Conference	Geometry and Invariance in Stochastic Dynamics 2019
Country/Territory	Italy
City	Verona
Period	25/03/19 → 29/03/19

Keywords

n/a OA procedure

Access to Document

10.1007/978-3-030-87432-2_9

1 Citations
1 Preprint

Stochastic geometric mechanics with diffeomorphisms
Holm, D. D. & Luesink, E., 17 Aug 2021, ArXiv.org.
Research output: Working paper › Preprint › Academic

Open Access
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32 Downloads (Pure)

Cite this

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title = "Stochastic Geometric Mechanics with Diffeomorphisms",

abstract = "Noether{\textquoteright}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).",

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AU - Luesink, Erwin

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AB - 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).

KW - n/a OA procedure

U2 - 10.1007/978-3-030-87432-2_9

DO - 10.1007/978-3-030-87432-2_9

M3 - Chapter

SN - 9783030874315

SN - 9783030874322

SP - 169

EP - 185

BT - Geometry and Invariance in Stochastic Dynamics

T2 - Geometry and Invariance in Stochastic Dynamics 2019

Y2 - 25 March 2019 through 29 March 2019

ER -

Stochastic Geometric Mechanics with Diffeomorphisms

Abstract

Conference

Keywords

Access to Document

Fingerprint

Research output

Stochastic geometric mechanics with diffeomorphisms

Cite this