A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2012; you can also visit the original URL.
The file type is
Handbook of Mathematical Fluid Dynamics
We survey certain topological methods for problems in inviscid fluid dynamics in dimension three. The tools come from the topology of contact structures, or nowhere-integrable plane fields. The applications are most robust in the setting of fluids on Riemannian three-manifolds which are not necessarily Euclidean. For example, these methods can be used to construct surprising examples of inviscid flows in non-Euclidean geometries. Because of their topological basis, these methods point onedoi:10.1016/s1874-5792(07)80005-x fatcat:mziqn4f4knhh3pcqfwbgb74kdu