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.
|Number of pages||10|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 18 May 2020|
- topological fluid dynamics
- Hamiltonian systems
- Casimir invariants