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The Godbillon-Vey Invariant as a Restricted Casimir of Three-dimensional Ideal Fluids

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 نشر من قبل Thomas Machon
 تاريخ النشر 2020
  مجال البحث فيزياء
والبحث باللغة English
 تأليف Thomas Machon




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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.



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