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 …

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

Many complex flows such as those arising from the collective motion of ocean plastics in
geophysics or motile cells in biology are characterized by sparse and noisy trajectory …

In cardiovascular flows, Lagrangian coherent structures have been used to explore the
skeleton of blood transport. Revealing these transport barriers is instrumental to quantify the …

The effect of spatial and temporal resolutions and random errors on identification of
Lagrangian coherent structures (LCSs) from Eulerian velocity fields is evaluated using two …

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 …

Lagrangian coherent structures (LCSs) are time-varying entities which capture the most
influential transport features of a flow. These can for example identify groups of particles …

A data-driven procedure for identifying the dominant transport barriers in a time-varying flow
from limited quantities of Lagrangian data is presented. Our approach partitions state space …

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 …

We present a frame-invariant method for detecting coherent structures from Lagrangian flow
trajectories that can be sparse in number, as is the case in many fluid mechanics …