Typical fluid particle trajectories are sensitive to changes in their initial conditions. This
makes the assessment of flow models and observations from individual tracer samples …

This work reviews the present position of and surveys future perspectives in the physics of
chaotic advection: the field that emerged three decades ago at the intersection of fluid …

This paper develops the theory and computation of Lagrangian Coherent Structures (LCS),
which are defined as ridges of Finite-Time Lyapunov Exponent (FTLE) fields. These ridges …

Coherent Lagrangian (material) structures are ubiquitous in unsteady fluid flows, often
observable indirectly from tracer patterns they create, for example, in the atmosphere and …

Two-dimensional chaotic advection in time-periodic fluid velocity fields is closely associated
with the presence of invariant manifolds. 1 For the period-one map, or Poincaré map, these …

We characterize horizontal mixing and transport structures in the surface circulation of the
Mediterranean Sea, as obtained from a primitive equation circulation model. We calculate …

Meso-and submesoscales (fronts, eddies, filaments) in surface ocean flow have a crucial
influence on marine ecosystems. Their dynamics partly control the foraging behavior and the …

In this paper we apply dynamical systems analyses and computational tools to fluid transport
in empirically measured vortex ring flows. Measurements of quasisteadily propagating …

A goal in this paper is to provide mathematically exact and frame-independent criteria for the
identification of Lagrangian coherent structures in two-dimensional turbulence. Roughly …

▪ Abstract Chaotic advection and, more generally, ideas from dynamical systems, have been
fruitfully applied to a diverse, and varied, collection of mixing and transport problems arising …