221 citations · 379 across the 6 of their papers we have counts for
6 papers
A Critical Comparison of Lagrangian Methods for Coherent Structure Detection
Alireza Hadjighasem, Mohammad Farazmand, Daniel Blazevski +2
We review and test twelve different approaches to the detection of finite-time coherent material structures in two-dimensional, temporally aperiodic flows. We consider both mathema…
Modulated heat pulse propagation and partial transport barriers in chaotic magnetic fields
D. del-Castillo-Negrete, D. Blazevski
Direct numerical simulations of the time dependent parallel heat transport equation modeling heat pulses driven by power modulation in 3-dimensional chaotic magnetic fields are pre…
Heat pulse propagation in chaotic 3-dimensional magnetic fields
D. del-Castillo-Negrete, D. Blazevski
Heat pulse propagation in -D chaotic magnetic fields is studied by solving the parallel heat transport equation using a Lagrangian-Green's function (LG) method. The LG method pr…
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…
Localized Stable Manifolds for Whiskered Tori in Coupled Map Lattices with Decaying Interaction
Daniel Blazevski, Rafael de la Llave
In this paper we consider lattice systems coupled by local interactions. We prove invariant manifold theorems for whiskered tori (we recall that whiskered tori are quasi-periodic s…
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…