A number of physical systems have been observed to contain Lagrangian structures at large scales resisting (diffusive) transport or mixing. In this cumulative dissertation, we describe progress made in some papers towards the question of characterization and efficient computation of Lagrangian coherent structures. This involves the analysis of connections between different methods in the literature for the computation of Lagrangian coherent structures from the viewpoint of the advection-diffusion equation.     «

A number of physical systems have been observed to contain Lagrangian structures at large scales resisting (diffusive) transport or mixing. In this cumulative dissertation, we describe progress made in some papers towards the question of characterization and efficient computation of Lagrangian coherent structures. This involves the analysis of connections between different methods in the literature for the computation of Lagrangian coherent structures from the viewpoint of the advection-diffusio...     »