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 |
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Article number | 235701 |
Number of pages | 10 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 53 |
Issue number | 23 |
DOIs | |
Publication status | Published - 18 May 2020 |
Keywords
- topological fluid dynamics
- Hamiltonian systems
- Casimir invariants