The topic of Lagrangian coherent structures (LCS) has been a rapidly growing area of
research in nonlinear dynamics for almost a decade. It provides a means to rigorously define …

The notion of a Lagrangian Coherent Structure (LCS) is by now well established as a way to
capture transient coherent transport dynamics in unsteady and aperiodic fluid flows that are …

We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly
developed computational engine, LCS Tool. LCSs are most repelling, attracting and …

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

There has been a proliferation in the development of Lagrangian analytical methods for
detecting coherent structures in fluid flow transport, yielding a variety of qualitatively different …

We prove analytic criteria for the existence of finite-time attracting and repelling material
surfaces and lines in three-dimensional unsteady flows. The longest lived such structures …

Mounting evidence suggests that fluid advection can effectively be studied by considering
special material surfaces, which are referred to here as Lagrangian coherent structures …

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 …

We use direct Lyapunov exponents to identify Lagrangian coherent structures (LCSs) in a
bioinspired fluid flow: the wakes of rigid pitching panels with a trapezoidal planform …

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 …