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 …

A vortex is intuitively recognized as the rotational/swirling motion of the fluids. However, an
unambiguous and universally accepted definition for vortex is yet to be achieved in the field …

Most of the current Eulerian vortex identification criteria, including the Q criterion and the λ ci
criterion, are exclusively determined by the eigenvalues of the velocity gradient tensor or the …

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

Amongst the variety of oceanic processes running the gamut of spatiotemporal scales,
mesoscale eddies are the most common and often have region-specific characteristics. The …

In April 2010, fine, airborne ash from a volcanic eruption in Iceland caused chaos throughout
European airspace. The same month, the explosion at the Deepwater Horizon drilling rig in …

We introduce a new approach to locating key material transport barriers in two-dimensional,
non-autonomous dynamical systems, such as unsteady planar fluid flows. Seeking transport …

Using the recently developed variational theory of hyperbolic Lagrangian coherent
structures (LCSs), we introduce a computational approach that renders attracting and …

We study the transport properties of nonautonomous chaotic dynamical systems over a finite-
time duration. We are particularly interested in those regions that remain coherent and …