论文标题

Godbillon-Weave不变为三维理想流体的受限卡西米尔

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

论文作者

Machon, Thomas

论文摘要

我们表明,对于与叶片相关的三维理想液体而言,出现了Godbillon-Vey的不变性。我们将有限的维度系统(在发生类似现象发生)进行比较。

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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