Corpus ID: 119155145

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}
}
  • Daniel Karrasch, Johannes Keller
  • Published 2016
  • Mathematics, Physics
  • 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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