336 citations · 3.5k across the 72 of their papers we have counts for
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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…
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…
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…