# Publications

### Submitted:

**Quantifying rare events in spotting: How far do wildfires spread?**A. Mendez, M. Farazmand

Submitted, 2022

### Published:

**Shape-morphing reduced-order models for nonlinear Schrodinger equations**

W. Anderson, M. Farazmand

Nonlinear Dynamics, 2022. Link: https://doi.org/10.1007/s11071-022-07448-w**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, 2022**Evolution of nonlinear reduced-order solutions for PDEs with conserved quantities**

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, 2021**Data-driven prediction of multistable systems from sparse measurements**

B. Chu, M. Farazmand

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

SIAM Journal on Optimization, vol. 30, No. 3, pp. 2337- 2354, 2020**Mitigation 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 Prediction****Vortex 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, 2020**Closed-loop adaptive control of extreme events in a turbulent flow**

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

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?**

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

Fluids, vol. 4, article no. 55 , 2019**Invited paper. Part of the special issue:**[video description]**Nonlinear Wave Hydrodynamics****Variational Lagrangian formulation of the Euler equations for incompressible flow: A simple derivation**

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

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

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**

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

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

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

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

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

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**

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**

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

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

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

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

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

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

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

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

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**

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

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, 2012**Controlling the dual cascades of two-dimensional turbulence**

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)