Dynamic isoperimetry and the geometry of Lagrangian coherent structures

@article{Froyland2015DynamicIA,
  title={Dynamic isoperimetry and the geometry of Lagrangian coherent structures},
  author={Gary Froyland},
  journal={Nonlinearity},
  year={2015},
  volume={28},
  pages={3587 - 3622}
}
  • G. Froyland
  • Published 26 November 2014
  • Mathematics
  • Nonlinearity
The study of transport and mixing processes in dynamical systems is particularly important for the analysis of mathematical models of physical systems. We propose a novel, direct geometric method to identify subsets of phase space that remain strongly coherent over a finite time duration. This new method is based on a dynamic extension of classical (static) isoperimetric problems; the latter are concerned with identifying submanifolds with the smallest boundary size relative to their volume… 
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