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arXiv · 0711.4125

Chaotic Geodesics

Jean-Luc Thiffeault·Khalid Kamhawi
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Abstract

When a shallow layer of inviscid fluid flows over a substrate, the fluid particle trajectories are, to leading order in the layer thickness, geodesics on the two-dimensional curved space of the substrate. Since the two-dimensional geodesic equation is a two degree-of-freedom autonomous Hamiltonian system, it can exhibit chaos, depending on the shape of the substrate. We find chaotic behaviour for a range of substrates.

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Jean-Luc Thiffeault, Khalid Kamhawi. 2015-02-05. Chaotic Geodesics. https://doi.org/10.1142/9789812818805_0003

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