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

Thomas Machon

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

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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 languageEnglish
Article number235701
Number of pages10
JournalJournal of Physics A: Mathematical and Theoretical
Volume53
Issue number23
DOIs
Publication statusPublished - 18 May 2020

Keywords

  • topological fluid dynamics
  • Hamiltonian systems
  • Casimir invariants

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