336 citations · 3.5k across the 72 of their papers we have counts for
7 papers · 1 filter
The Maxey-Riley Equation: Existence, Uniqueness and Regularity of Solutions
Mohammad Farazmand, George Haller
The Maxey--Riley equation describes the motion of an inertial (i.e., finite-size) spherical particle in an ambient fluid flow. The equation is a second-order, implicit integro-diff…
Shearless transport barriers in unsteady two-dimensional flows and maps
Mohammad Farazmand, Daniel Blazevski, George Haller
We develop a variational principle that extends the notion of a shearless transport barrier from steady to general unsteady two-dimensional flows and maps defined over a finite tim…
Coherent Lagrangian vortices: The black holes of turbulence
G. Haller, F. J. Beron-Vera
We introduce a simple variational principle for coherent material vortices in two-dimensional turbulence. Vortex boundaries are sought as closed stationary curves of the averaged L…
Hyperbolic and Elliptic Transport Barriers in Three-Dimensional Unsteady Flows
Daniel Blazevski, George Haller
We develop a general theory of transport barriers for three-dimensional unsteady flows with arbitrary time-dependence. The barriers are obtained as two-dimensional Lagrangian Coher…
Do Finite-Size Lyapunov Exponents Detect Coherent Structures?
Daniel Karrasch, George Haller
Ridges of the Finite-Size Lyapunov Exponent (FSLE) field have been used as indicators of hyperbolic Lagrangian Coherent Structures (LCSs). A rigorous mathematical link between the…
Detecting invariant manifolds, attractors, and generalized KAM tori in aperiodically forced mechanical systems
Alireza Hadjighasem, Mohammad Farazmand, George Haller
We show how the recently developed theory of geodesic transport barriers for fluid flows can be used to uncover key invariant manifolds in externally forced, one-degree-of-freedom…
Attracting and repelling Lagrangian coherent structures from a single computation
Mohammad Farazmand, George Haller
Hyperbolic Lagrangian Coherent Structures (LCSs) are locally most repelling or most attracting material surfaces in a finite-time dynamical system. To identify both types of hyperb…