# Publications

### Submitted:

Sparse discrete empirical interpolation method: State estimation from few sensors

M. Farazmand

Submitted 2024Modeling correlated uncertainties in stochastic compartmental models

K. Mamis, M. Farazmand

Submitted 2024

### Published:

Enforcing conserved quantities in Galerkin truncation and finite volume discretization

Z. T. Hilliard, M. Farazmand

Nonlinear Dynamics, In press, 2024Fisher information and shape-morphing modes for solving the Fokker-Planck equation in higher dimensions

W. Anderson, M. Farazmand

J. Appl. Math. Comput., vol. 467, pp. 128489, 2024Fast and scalable computation of shape-morphing nonlinear solutions with application to evolutional neural networks

W. Anderson, M. Farazmand

J. Comput. Phys., vol. 498, pp. 112649, 2024Tensor-based flow reconstruction from optimally located sensor measurements

M. Farazmand, A. K. Saibaba

J. Fluid Mech., vol. 962, pp. A27, 2023Stochastic compartmental models of COVID-19 pandemic must have temporally correlated uncertainties

K. Mamis, M. Farazmand

Proc. Royal Soc. A, vol. 479, pp. 20220568, 2023

Featured in NCSU News [Link]Quantifying rare events in spotting: How far do wildfires spread?

A. Mendez, M. Farazmand

Fire Safety Journal, vol. 132, pp. 103630, 2022

Selected by the journal's Editor-in-Chief as a featured article [Link]Shape-morphing reduced-order models for nonlinear Schrodinger equations

W. Anderson, M. Farazmand

Nonlinear Dynamics, vol. 108, pp. 2889-2902, 2022.Model-assisted deep learning of rare extreme events from partial observations

A. Asch, E. Brady, H. Gallardo, J. Hood, B. Chu, M. Farazmand

Chaos, vol. 32, pp. 043112, 2022Evolution of nonlinear reduced-order solutions for PDEs with conserved quantities

W. Anderson, M. Farazmand

SIAM J. on Scientific Computing, vol. 44, pp. A176-A197, 2022

Awarded the 2022 SIAM Student Paper Prize [Link]Investigating climate tipping points under various emission reduction and carbon capture scenarios with a stochastic climate model

A. Mendez, M. Farazmand

Proc. Roy. Soc. A, vol. 477, pp. 20210697, 2021

Featured in NCSU News [Link] and other news outlets [Link]Mitigation of rare events in multistable systems driven by correlated noise

K. Mamis, M. Farazmand

Phys. Rev. E, vol. 104, pp. 034201, 2021Data-driven prediction of multistable systems from sparse measurements

B. Chu, M. Farazmand

Chaos, vol. 31, pp. 063118, 2021Multiscale analysis of accelerated gradient methods

M. Farazmand

SIAM Journal on Optimization, vol. 30, No. 3, pp. 2337- 2354, 2020Mitigation of tipping point transitions by time-delay feedback control

M. Farazmand

Chaos, vol. 30, pp. 013149, 2020

Part of the Focus Issue on Rare Events in Complex Systems: Understanding and PredictionVortex boundaries as barriers to diffusive vorticity transport in two-dimensional flows

S. Katsanoulis, M. Farazmand, M. Serra, G. Haller

Phys. Rev. Fluids, vol. 5, pp. 024701, 2020Closed-loop adaptive control of extreme events in a turbulent flow

M. Farazmand, T. Sapsis

Phys. Rev. E, vol. 100, pp. 033110, 2019Extreme Events: Mechanisms and Prediction

M. Farazmand, T. Sapsis

ASME Appl. Mech. Rev., vol. 71, pp. 050801, 2019

Invited Review Article. A discussion of our review by Prof. Grigoriu and Wayne Uy is available here. Our closing comments are available here. [Journal Version]Are extreme dissipation events predictable in turbulent fluid flows?

P. Blonigan, M. Farazmand, T. Sapsis

Phys. Rev. Fluids, vol. 4, pp. 044606, 2019Surface waves enhance particle dispersion

M. Farazmand, T. Sapsis

Fluids, vol. 4, article no. 55 , 2019

Invited paper. Part of the special issue: Nonlinear Wave Hydrodynamics [video description]Variational Lagrangian formulation of the Euler equations for incompressible flow: A simple derivation

M. Farazmand, M. Serra

arXiv:1807.02726, 2018Physics-based probing and prediction of extreme events

M. Farazmand, T. Sapsis

SIAM News, vol. 51, January 2018A variational approach to probing extreme events in turbulent dynamical systems

M. Farazmand, T. Sapsis

Science Advances, vol. 3, pp. 1701533, 2017

Featured in MIT News [Link] and other news outlets [Link]Relative periodic orbits form the backbone of turbulent pipe flow

N. B. Budanur, K. Y. Short, M. Farazmand, A. P. Willis, P. Cvitanović

J. Fluid Mech., vol. 833, pp. 274-301, 2017Optimal initial condition of passive tracers for their maximal mixing in finite time

M. Farazmand,

Phys. Rev. Fluids, vol. 2, pp. 054601, 2017Reduced-order prediction of rogue waves in two-dimensional deep-water waves

M. Farazmand, T. Sapsis

J. Comput. Phys., vol. 340, pp. 418-434, 2017Reduced-order description of transient instabilities and computation of finite-time Lyapunov exponents

H. Babaee, M. Farazmand, G. Haller, T. Sapsis

Chaos, vol. 27, pp. 063103, 2017A critical comparison of Lagrangian methods for coherent structure detection

A. Hadjighasem, M. Farazmand, D. Blazevski, G. Froyland, G. Haller

Chaos, vol. 27, pp. 053104, 2017Dynamical indicators for the prediction of bursting phenomena in high-dimensional systems

M. Farazmand, T. Sapsis

Phys. Rev. E, vol. 94, pp. 032212, 2016

Featured on the journal's kaleidoscope [Link]An adjoint-based approach for finding invariant solutions of Navier-Stokes equations

Farazmand M.,

J. Fluid Mech., vol. 795, pp. 278-312, 2016

A tutorial on the adjoint method is available here.Kinematics of fluid particles on the sea surface: Hamiltonian theory

Fedele F., Chandre C., Farazmand M.

J. Fluid Mech., vol. 801, pp. 260-288, 2016Defining coherent vortices objectively from the vorticity

Haller G., Hadjighasem A., Farazmand M., Huhn F.

J. Fluid Mech., vol. 795, pp. 136-173, 2016Polar rotation angle identifies elliptic islands in unsteady dynamical systems

Farazmand M., Haller G.

Physica D, vol. 315, pp. 1-12, 2016Asymptotic Dynamics of Inertial particles with memory

Langlois G. P., Farazmand M., Haller G.

J Nonlinear Sci, vol. 25, pp.1225-1255, 2015Attraction-based computation of hyperbolic Lagrangian coherent structures

Karrasch D., Farazmand M., Haller G.

J. Comp. Dyn., vol. 2, No. 1, pp. 83-93, 2015Dissipative inertial transport patterns near coherent Lagrangian eddies in the ocean

Beron-Vera F. J., Olascoaga J. M., Haller G., Farazmand M., Trinanes J., Wang Y.

Chaos, vol. 25, pp. 087412, 2015The Maxey-Riley Equation: Existence, Uniqueness and Regularity of Solutions

Farazmand M., Haller G.

J. Nonlinear Analysis: Real World Applications, vol. 22, pp. 98-106, 2015Shearless transport barriers in unsteady two-dimensional flows and maps

Farazmand M., Blazevski D., Haller G.

Physica D, vol. 278-279, pp. 44-57, 2014Attracting and repelling Lagrangian coherent structures from a single computation

Farazmand M., Haller G.

Chaos, vol. 23, pp. 023101, 2013

Editor's pick for the best papers of 2013 [Link]Detecting invariant manifolds, attractors and generalized KAM tori in aperiodically forced mechanical systems

Hadjighasem A., Farazmand M., Haller G.

Nonlinear Dynamics, vol. 73, pp. 689-704, 2013Computing Lagrangian coherent structures from their variational theory

Farazmand M., Haller G.

Chaos, vol. 22, pp. 013128, 2012

Editor-in-Chief's pick for the article of the year [Link]Erratum and addendum to "A variational theory of hyperbolic Lagrangian Coherent Structures, Physica D 240 (2011) 574-598"

Farazmand M., Haller G.

Physica D, vol. 241, pp. 439-441, 2012Controlling the dual cascades of two-dimensional turbulence

Farazmand M., Kevlahan N., Protas B.

J. Fluid Mech., vol. 668, pp. 202-222, 2011

### Theses:

PhD Thesis, A variational approach to coherent structures in unsteady dynamical systems (2014)

MSc Thesis, Controlling the Dual Cascade of Two-dimensional Turbulence (2010)