The Godbillon–Vey invariant as a restricted Casimir of three-dimensional ideal fluids

Thomas Machon

doi:10.1088/1751-8121/ab8b35

The Godbillon–Vey invariant as a restricted Casimir of three-dimensional ideal fluids

Thomas Machon

School of Physics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

3 Citations (Scopus)

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Abstract

We show the Godbillon–Vey invariant arises as a 'restricted Casimir' invariant for three-dimensional ideal fluids associated to a foliation. We compare to a finite-dimensional system, the rattleback, where analogous phenomena occur.

Original language	English
Article number	235701
Number of pages	10
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	53
Issue number	23
DOIs	https://doi.org/10.1088/1751-8121/ab8b35
Publication status	Published - 18 May 2020

Keywords

topological fluid dynamics
Hamiltonian systems
Casimir invariants

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10.1088/1751-8121/ab8b35

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This is the final published version of the article (version of record). It first appeared online via IOP Publishing at https://iopscience.iop.org/article/10.1088/1751-8121/ab8b35/meta . Please refer to any applicable terms of use of the publisher.
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Cite this

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The Godbillon–Vey invariant as a restricted Casimir of three-dimensional ideal fluids

Abstract

Keywords

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