Topological Features of Inviscid Flows

Abstract

The Euler equations for an incompressible inviscid uid in dimension three possess a wealth of topological phenomena woven into the dynamical and geometric properties of the uid. Focusing rst on steady Euler elds, we outline known results, giving special attention to the Beltrami elds and the contemporary topological techniques required to elucidate their dynamical features. We also propose a topological perspective for understanding the global dynamics of the Euler equations on the space of velocity elds.

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Cite this paper

@inproceedings{GhristTopologicalFO, title={Topological Features of Inviscid Flows}, author={R. Ghrist and RAFAL KOMENDARCZYK} }