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 …

Dynamical systems that exhibit diverse behaviors can rarely be completely understood
using a single approach. However, by identifying coherent structures in their state spaces …

Inertia-induced changes in transport properties of an incompressible viscous time-periodic
flow due to fluid inertia (nonzero Reynolds numbers Re⁠) are studied in terms of the …

For two-dimensional velocity fields defined on finite time intervals, we derive an analytic
condition that can be used to determine numerically the location of uniformly hyperbolic …

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 …

This paper proposes aGalilean invariant generalization of critical points ofvector field
topology for 2 D time-dependent flows. The approach is based upon a Lagrangian …

Topological approaches to mixing are important tools to understand chaotic fluid flows,
ranging from oceanic transport to the design of micro-mixers. Typically, topological entropy …

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 …

A new method to describe hyperbolic patterns in two-dimensional flows is proposed. The
method is based on the Covariant Lyapunov Vectors (CLVs), which have the properties of …

Inertia-induced changes in transport properties of an incompressible viscous time-periodic
flow are studied in terms of the topological properties of volume-preserving maps. In the …