# A geometric heat-flow theory of Lagrangian coherent structures

@inproceedings{Karrasch2016AGH, title={A geometric heat-flow theory of Lagrangian coherent structures}, author={Daniel Karrasch and Johannes Keller}, year={2016} }

We define Lagrangian coherent structures (LCSs) as maximal material subsets whose advective evolution is maximally persistent to weak diffusion. For their detection, we first transform the Eulerian Fokker--Planck equation (FPE) into a diffusion-only equation in Lagrangian coordinates. In this framework, LCSs express themselves as almost-invariant sets under this diffusion process. The Eulerian-to-Lagrangian coordinate transformation separates the reversible effects of advection from the… CONTINUE READING

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