Lagrangian Coherent Structures and Invariant Regions: Three Perspectives

Lagrangian coherent structures separate dynamically distinct regions in time-dependent systems. They are often studied in two- and three-dimensional fluid flows to understand transport.

In this presentation we discuss Lagrangian coherent structures and invariant regions from three different mathematical perspectives (geometric/analytic, topological, and dynamical), and we explore how these three different views can inform our understanding of Lagrangian coherent structures in discrete fluid computations and simulations.