The Godbillon-Vey Invariant as a Restricted Casimir of Three-dimensional Ideal Fluids
published by Thomas Machon
in 2020
in Physics
and research's language is
English
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Abstract in English
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.