NEWS

"Adjoint-Based Enforcement of State Constraints in PDE Optimization Problems",
Journal of Computational Physics 517, 113298, 2024 (the final version of the paper is available at doi.org/10.1016/j.jcp.2024.113298;; see also arXiv:2312.01929).

B. Protas, D. Kang and M. D. Bustamante,

"Alignments of triad phases in extreme one-dimensional Burgers flows",
Physical Review E 109, 055104, 2024 (the final version of the paper is available at doi.org/10.1103/PhysRevE.109.055104).

B. Protas,

"On the Linear Stability of the Lamb-Chaplygin Dipole",
Journal of Fluid Mechanics 984, A7, 2024 (the final version of the paper is available at doi.org/10.1017/jfm.2024.160; see also arXiv:2307.03159).

X. Zhao and B. Protas,

"Systematic search for singularities in 3D Euler flows",
Journal of Nonlinear Science 33, 120, 2023, (the final version of the paper is available at doi:10.1007/s00332-023-09977-z; see also arXiv:2212.12608).

L. Daniels, S. Sahu, K. J. Sanders, G. R. Goward, J. M. Foster, B. Protas, "Learning Optimal Forms of Constitutive Relations Characterizing Ion Intercalation from Data in Mathematical Models of Lithium-ion Batteries",

The Journal of Physical Chemistry - C 127, 17508-17523, 2023 (the final version of the paper is available at doi:10.1021/acs.jpcc.3c02915; see also arXiv:2305.03185).

A. Novruzi and B. Protas,

"An accelerated Sobolev gradient method for unconstrained optimization problems based on variable inner products",
Journal of Computational and Applied Mathematics 420, 114833, 2023 (the final version of the paper is available at doi:10.1016/j.cam.2022.114833).

P. Matharu, T. Yoneda and B. Protas,

"On Maximum Enstrophy Dissipation in 2D Navier-Stokes Flows in the Limit of Vanishing Viscosity",
Physica D 441, 133517, 2022 (the final version of the paper is available at doi:10.1016/j.physd.2022.133517; see also arXiv:2206.03607).

E. Ramírez and B. Protas,

"Singularity formation in the deterministic and stochastic fractional Burgers equation",
Physica D 440, 133432, 2022 (the final version of the paper is available at doi:10.1016/j.physd.2022.133432; see also arXiv:2104.10759).

A. Ahmadi, J. M. Foster and B. Protas,

"Data-driven optimal closures for mean-cluster models: Beyond the classical pair approximation",
Physical Review E 106, 025313, 2022, (the final version of the paper is available at doi:10.1103/PhysRevE.106.025313; see also arXiv:2202.13224).

D. Kang and B. Protas,

"Searching for Singularities in Navier-Stokes Flows Based on the Ladyzhenskaya-Prodi-Serrin Conditions",
Journal of Nonlinear Science 32, 81, 2022, (the final version of the paper is available at doi:10.1007/s00332-022-09832-7; see also arXiv:2110.06130).

P. Matharu and B. Protas,

"Optimal Eddy Viscosity in Closure Models for 2D Turbulent Flows",
Physical Review Fluids 7, 044605, 2022 (the final version of the paper is available at doi:10.1103/PhysRevFluids.7.044605; see also arXiv:2106.03711).

D. Diaz-Arriba, B. Protas, G. Acher, F. Pons, L. David,

"Application of a Variational Approach to the Computation of Forces around a Wing",
Experiments in Fluids 63, 31, 2022 (the final version of the paper is available at doi:10.1007/s00348-021-03376-4).

J. Morales Escalante, S. Sahu, J. M. Foster, B. Protas,

"On Uncertainty Quantification in the Parametrization of Newman-type Models of Lithium-ion Batteries",
Journal of The Electrochemical Society 168, 110519, 2021 (the final version of the paper is available at doi: 10.1149/1945-7111/ac3159, see also arXiv:2104.05805).

B. Protas, S. G. Llewellyn Smith and T. Sakajo,

"Finite rotating and translating vortex sheets",
Journal of Fluid Mechanics 923, A23, 2021 (the final version of the paper is available at doi: 10.1017/jfm.2021.572, see also arXiv:2101.09570).

B. Protas,

"Stability of Confined Vortex Sheets",
Theoretical and Computational Fluid Dynamics 35, 109-118, 2021 (the final version of the paper is available at doi:10.1007/s00162-020-00556-6, see also see arXiv:1907.10769).

J. Morales Escalante, W. Ko, J. M. Foster, S. Krachkovskiy, G. Goward and B. Protas,

"Discerning models of phase transformations in porous graphite electrodes: insights from inverse modelling based on MRI measurements",
Electrochimica Acta 349, 136290, 2020 (the final version of the paper is available at doi:10.1016/j.electacta.2020.136290).

D. Kang, D. Yun and B. Protas,

"Maximum Amplification of Enstrophy in 3D Navier-Stokes Flows",
Journal of Fluid Mechanics 893, A22, 2020 (the final version of the paper is available at doi:10.1017/jfm.2020.204, see also arXiv:1909.00041).

B. Protas and T. Sakajo,

"Rotating Equilibria of Vortex Sheets",
Physica D 403, 132286, 2020 (the final version of the paper is available at doi:10.1016/j.physd.2019.132286, see also arXiv:1906.03803).

P. Matharu and B. Protas,

"Optimal Closures in a Simple Model for Turbulent Flows",
SIAM Journal on Scientific Computing 42, B250-B272, 2020 (the final version of the paper is available at doi:10.1137/19M1251941, see also arXiv:1901.01654).

N. Kevlahan, R. Khan and B. Protas,

"Variational data assimilation for the shallow water equations",
Advances in Computational Mathematics 44, 3195-3216, 2019 (the final version of the paper is available at doi:10.1007/s10444-019-09733-6; see also arXiv:1802.04393).

B. Protas,

"Linear Stability of Inviscid Vortex Rings to Axisymmetric Perturbations",
Journal of Fluid Mechanics 874, 1115-1146, 2019 (the final version of the paper is available at doi: 10.1017/jfm.2019.473, see also arXiv:1810.06068).

A.K. Sethurajan, J.M. Foster, G. Richardson, S.A. Krachkovskiy, J.D. Bazak, G.R. Goward and B. Protas,

"Incorporating Dendrite Growth into Continuum Models of Electrolytes: Insights from NMR Measurements and Inverse Modelling",
Journal of The Electrochemical Society 166, A1591-A1602, 2019 (the final version of the paper is available at doi: 10.1149/2.0921908jes).

A. K. Sethurajan, S. A. Krachkovskiy, G. R. Goward and B. Protas,

"Bayesian Uncertainty Quantification in Inverse Modelling of Electrochemical Systems",
Journal of Computational Chemistry 40, 740-752, 2019 (the final version of the paper is available at doi:10.1002/jcc.25759, see also arXiv:1806.00036).

B. Protas and T. Sakajo,

"Harnessing the Kelvin-Helmholtz Instability: Feedback Stabilization of an Inviscid Vortex Sheet",
Journal of Fluid Mechanics 852, 146-177, 2018 (the final version of the paper is available at doi:10.1017/jfm.2018.523, see also arXiv:1711.03249).

G. Richardson, J.M. Foster, A.K. Sethurajan, S.A. Krachkovskiy, I.C. Halalay, G.R. Goward and B. Protas,

"The Effect of Ionic Aggregates on the Transport of Charged Species in Lithium Electrolyte Solutions",
Journal of The Electrochemical Society 165, H561-H567, 2018 (the final version of the paper is available at doi: 10.1149/2.0981809jes).

F. Font, B. Protas, G. Richardson and J.M. Foster

"Binder migration during drying of lithium-ion battery electrodes: Modelling and comparison to experiment",
Journal of Power Sources 393, 177--185, 2018 (the final version of the paper is available at doi:10.1016/j.jpowsour.2018.04.097, see also arXiv:1801.01580).

I. Danaila and B. Protas,

"Computation of Ground States of the Gross-Pitaevskii Functional via Riemannian Optimization",
SIAM Journal on Scientific Computing 39, B1102-B1129, 2017 (the final version of the paper is available at doi: 10.1137/17M1121974 , see also arXiv:1703.07693).

J. M. Foster, S. J. Chapman, G. Richardson and B. Protas,

"A mathematical model for mechanically-induced deterioration of the binder in lithium-ion electrodes",
SIAM Journal on Applied Mathematics 77, 2172-2198, 2017 (the final version of the paper is available at doi: 10.1137/16M1086595 , see alsoarXiv:1608.04847).

D. Pocas and B. Protas,

"Transient Growth in Stochastic Burgers Flows",
Discrete and Continuous Dynamical Systems -- B 23, 2371-2391, 2018 (the final version of the paper is available at doi: 10.3934/dcdsb.2018052, see also arXiv:1510.05037).

D. Yun and B. Protas,

"Maximum Rate of Growth of Enstrophy in Solutions of the Fractional Burgers Equation",
Journal of Nonlinear Science 28, 395-422, 2018 (the final version of the paper is available at doi: 10.1007/s00332-017-9412-3, see also arXiv:1610.09578).

R. Nelson, B. Protas and T. Sakajo,

"Linear feedback stabilization of point vortex equilibria near a Kasper Wing",
Journal of Fluid Mechanics 827, 121-154, 2017 (the final version of the paper is available at doi:10.1017/jfm.2017.484, see also arXiv:1703.07720).

K. J. Harris, J. M. Foster, M. Z. Tessaro, M. Jiang, X. Yang, Y. Wu, B. Protas, and G. R. Goward,

"Structure Solution of Metal-Oxide Li Battery Cathodes from Simulated Annealing and Lithium NMR Spectroscopy",
Chemistry of Materials 29(13), 5550-5557, 2017 (the final version of the paper is available at doi:10.1021/acs.chemmater.7b00836).

J. M. Foster, X. Huang, M. Jiang, S. J. Chapman, B. Protas and G. Richardson,

"Causes of binder damage in porous battery electrodes and strategies to prevent it",
Journal of Power Sources 350, 140-151, 2017 (the final version of the paper is available at doi:10.1016/j.jpowsour.2017.03.035).

D. Ayala and B. Protas,

"Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows",
Journal of Fluid Mechanics 818, 772-806, 2017 (the final version of the paper is available at doi:10.1017/jfm.2017.136, see also arXiv:1605.05742).

B. Protas and A. Elcrat,

"Linear Stability of Hill's Vortex to Axisymmetric Perturbations",
Journal of Fluid Mechanics 799, 579-602, 2016 (the final version of the paper is available at doi:10.1017/jfm.2016.387, see also arXiv:1509.08901).

S. Melkoumian and B. Protas,

"Drift Due to Two Obstacles in Different Arrangements",
Theoretical and Computational Fluid Dynamics 30, 529-542, 2016 (the final version of the paper is available at doi: 10.1007/s00162-016-0394-9, see also arXiv:1511.06953).

H. Liu, J. M. Foster, A. Gully, S. Krachkovskiy, M. Jiang, Y. Wu, X. Yang, B. Protas, G. R. Goward, G. A. Botton, "Three-dimensional investigation of cycling-induced microstructural changes in lithium-ion battery cathodes using focused ion beam/scanning electron microscopy",

Journal of Power Sources 306, 300-308, 2016 (the final version of the paper is available at doi:10.1016/j.jpowsour.2015.11.108).

A. K. Sethurajan, S. Krachkovskiy, I. C. Halalay, G. R. Goward and B. Protas, "Accurate Characterization of Ion Transport Properties in Binary Symmetric Electrolytes Using In-Situ NMR Imaging and Inverse Modeling",

The Journal of Physical Chemistry - B 119, 12238-12248, 2015 (the final version of the paper is available at doi: 10.1021/acs.jpcb.5b04300).

I. Danaila and B. Protas,

"Optimal Reconstruction of Inviscid Vortices",
Proceedings of the Royal Society A 471, 20150323, 2015 (the final version of the paper is available at doi: 10.1098/rspa.2015.0323; see also arXiv:1411.7365).

J. Foster, A. Gully, H. Liu, S. Krachkovskiy, Y. Wu, S. B. Schougaard, M. Jiang, G. Goward, G. A. Botton, B. Protas, "A Homogenization Study of the Effects of Cycling on the Electronic Conductivity of Commercial Lithium-ion Battery Cathodes",

The Journal of Physical Chemistry - C 119, 12199-12208, 2015 (the final version of the paper is available at doi: 10.1021/acs.jpcc.5b02736).

J. Gustafsson and B. Protas,

"Computation of Steady Incompressible Flows in Unbounded Domains",
Computers and Fluids 112, 94-107, 2015 (the final version of the paper is available at doi: 10.1016/j.compfluid.2015.01.013; see also arXiv:1407.1731).

B. Protas, B. Noack, and J. Oesth,

"Optimal Nonlinear Eddy Viscosity in Galerkin Models of Turbulent Flows",
Journal of Fluid Mechanics 766, 337-367, 2015 (the final version of the paper is available at doi: 10.1017/jfm.2015.14, see also arXiv:1406.1912).

S. Melkoumian and B. Protas,

"Wake Effects on Drift in Two-Dimensional Inviscid Incompressible Flows",
Physics of Fluids 26, 123601, 2014 (the final version of the paper is available at doi: 10.1063/1.4903066, see also arXiv:1408.3899).

A. Gully, H. Liu, S. Srinivasan, A. K. Sethurajan, S. Schougaard, and B. Protas,

"Effective Transport Properties of Porous Electrochemical Materials - A Homogenization Approach",
Journal of The Electrochemical Society 161 (focus issue "Mathematical Modeling Of Electrochemical Systems At Multiple Scales"), E3066-E3077, 2014 (the final version of the paper is available at doi: 10.1149/2.011408jes).

D. Ayala and B. Protas,

"Maximum Palinstrophy Growth in 2D Incompressible Flows",
Journal of Fluid Mechanics 742, 340-367, 2014 (the final version of the paper is available at doi: 10.1017/jfm.2013.685, see also arXiv:1305.7259).

D. Ayala and B. Protas,

"Vortices, Maximum Growth and the Problem of Finite-Time Singularity Formation",
Fluid Dynamics Research (Special Issue for IUTAM Symposium on Vortex Dynamics) 46, 031404, 2014 (the final version of the paper is available at doi:10.1088/0169-5983/46/3/031404, see also arXiv:1307.3589).

B. Protas, B. Noack, and M. Morzynski,

"An Optimal Model Identification For Oscillatory Dynamics With a Stable Limit Cycle", Journal of Nonlinear Science 24, 245-275, 2014
(the final version of the paper is available at doi: 10.1007/s00332-013-9188-z, see also arXiv:1209.4416).

X. Peng, K. Niakhai and B. Protas,

"A Method for Geometry Optimization in a Simple Model of Two-Dimensional Heat Transfer",
SIAM Journal on Scientific Computing 35, B1105-B1131, 2013 (the final version of the paper is available at doi: 10.1137/120870499 , see also arXiv:1307.1248).

V. Bukshtynov and B. Protas,

"Optimal Reconstruction of Material Properties in Complex Multiphysics Phenomena",
Journal of Computational Physics 242, 889-914, 2013 (the final version of the paper is available at doi: 10.1016/j.jcp.2013.02.034; see also arXiv:1301.5922).

A. Elcrat and B. Protas,

"A Framework for Linear Stability Analysis of Finite-Area Vortices",
Proceedings of the Royal Society A 469, 20120709, 2013 (the final version of the paper is available at doi: 10.1098/rspa.2012.0709, see also arXiv:1212.2312).

R. Yapalparvi and B. Protas,

"Computation of Effective Free Surfaces in Two Phase Flows",
Physics of Fluids 24, 087101, 2012 ([PDF file, 2546 Kb]; the final version of the paper is available at doi: 10.1063/1.4745006, see also arXiv:1209.0419)
Copyright (2012) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics..

J. Gustafsson and B. Protas,

"On Oseen Flows for Large Reynolds Numbers",
Theoretical and Computational Fluid Dynamics 27, 665-680, 2013 ([PDF file, 745 Kb], the final version of the paper is available at doi: 10.1007/s00162-011-0256-4).

B. Protas,

"Vortex Design Problem",
Journal of Computational and Applied Mathematics 236 1926-1946, 2012 ([PDF file, 1235 Kb], the final version of the paper is available at doi: 10.1016/j.cam.2011.11.002).

J.C.-F. Wong and B. Protas,

"Application of Scaled Nonlinear Conjugate-Gradient Algorithms To The Inverse Natural Convection Problem"
Optimization Methods and Software 28 159-185, 2013 ([PDF file, 217 Kb], the final version of the paper is available at doi: 10.1080/10556788.2011.626778).

B. Protas,

"On Calculation of Hydrodynamic Forces for Steady Flows in Unbounded Domains"
Journal of Fluids and Structures 27, 1455-1460, 2011. ([PDF file, 128 Kb], the final version of the paper is available at doi: 10.1016/j.jfluidstructs.2011.08.011).

D.Ayala and B. Protas,

"On Maximum Enstrophy Growth in a Hydrodynamic System"
Physica D 240, 1553-1563, 2011. ([PDF file, 587 Kb], the final version of the paper is available at doi: 10.1016/j.physd.2011.07.003).

V. Bukshtynov, O. Volkov, and B. Protas,

"On Optimal Reconstruction of Constitutive Relations"
Physica D 240, 1228-1244, 2011. ([PDF file, 512 Kb], the final version of the paper is available at doi: 10.1016/j.physd.2011.04.006).

M. Farazmand, N.K.R. Kevlahan and B. Protas,

"Controlling the dual cascade of two-dimensional turbulence",
Journal of Fluid Mechanics 668, 202-222, 2011 ([PDF file, 2,422 Kb], the final version of the paper is available here).

J. Gustafsson and B. Protas

"Regularization of the Backward-in-Time Kuramoto-Sivashinsky Equation",
Journal of Computational and Applied Mathematics 234, 398-406, 2010. ([PDF file, 192 Kb], the final version of the paper is available at doi: 10.1016/j.cam.2009.12.032).

F. Gallizio, A. Iollo, B. Protas, L. Zannetti,

"On Continuation of Inviscid Vortex Patches"
Physica D 239, 190-201, 2010. ([PDF file, 1181 Kb], the final version of the paper is available at doi: 10.1016/j.physd.2009.10.015).

O. Volkov, B. Protas, W. Liao and D. Glander

"Adjoint-Based Optimization of Thermo-Fluid Phenomena in Welding Processes",
Journal of Engineering Mathematics 65, 201-220, 2009 ([PDF file, 1141kb], the final version of the paper is available at doi:10.1007/s10665-009-9292-0).

O. Volkov and B. Protas

"An inverse model for a free-boundary problem with a contact line: steady case",
Journal of Computational Physics 228, 4893-4910, 2009 ([PDF file, 289kb], the final version of the paper is available at doi:10.1016/j.jcp.2009.03.042).

B. Protas,

"Adjoint-Based Optimization of PDE Systems with Alternative Gradients",
Journal of Computational Physics 227, 6490-6510, 2008 ([PDF file, 550kb], the final version of the paper is available at doi:10.1016/j.jcp.2008.03.013).

B. Protas and W. Liao,

"Adjoint-Based Optimization of PDEs in Moving Domains",
Journal of Computational Physics 227, 2707-2723, 2008 ([PDF file, 615kb], the final version of the paper is available at doi:10.1016/j.jcp.2007.11.014).

B. Protas,

"On an Attempt to Simplify the Quartapelle-Napolitano Approach to Computation of Hydrodynamic Forces in Open Flows"
Journal of Fluids and Structures 23, 1207-1214, 2007 ([PDF file, 89 Kb], the final version of the paper is available at doi:10.1016/j.jfluidstructs.2007.05.002 ).

B. Protas,

"Center Manifold Analysis of a Point-Vortex Model of Vortex Shedding with Control"
Physica D 228(2), 179-187, 2007. ([PDF file, 255 Kb], the final version of the paper is available at doi:10.1016/j.physd.2007.03.008).

B. Protas,

"Higher-order Foppl models of steady wake flows"
Physics of Fluids 18(11), 117109, 2006 ([PDF file, 270 Kb], the paper may also be found here).
Copyright (2001) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics..

B. Protas,

"Linear Feedback Stabilization of Laminar Vortex Shedding Based on a Point Vortex Model".
Physics of Fluids 16(12), 4473-4488, 2004 ([PDF file, 356 Kb], the paper may also be found here).
Copyright (2001) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics..

T. R. Bewley and B. Protas,

"Skin friction and pressure: the ``footprints'' of turbulence",
Physica D 196(1-2), 28-44, 2004 [PDF file, 362kb].

B. Protas, T. R. Bewley and G. Hagen,

"A comprehensive framework for the regularization of adjoint analysis in multiscale PDE systems",
Journal of Computational Physics 195(1), 49-89, 2004 (PDF file, 552kb, the paper may also be found here).
Copyright (2004). Article is posted with permission from Elsevier. Single copies of this article can be downloaded and printed for the reader's personal research and study.

B. Protas and J. -E. Wesfreid,

"On the Relation Between the Global Modes and the Spectra of Drag and Lift in Periodic Wake Flows",
Les Comptes Rendus de l'Acad�mie des sciences, S�rie IIB - M�canique 331, 49-54, 2003 ( the paper may be found here).

B. Protas,

"On the ``Vorticity'' Formulation of the Adjoint Equations and its Solution Using Vortex Method",
Journal of Turbulence 3, 048, 2002. ([PDF file, 585kB], the paper may also be found here).

B. Protas, M. Farge and K. Schneider,

"Geometrical alignment properties in Fourier and wavelet filtered forced two-dimensional turbulence",
Physical Review E 66, 046307, 2002. ([PDF file, 533kB], the paper may also be found here).
Copyright (2002) by the American Physical Society.

B. Protas and A. Styczek,

"Optimal Rotary Control of the Cylinder Wake in the Laminar Regime",
Physics of Fluids 14(7), 2073-2087, 2002. ([PDF file, 317 Kb], the paper may also be found here).
Copyright (2001) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

B. Protas and J.-E. Wesfreid,

"Drag Force in the Open-Loop Control of the Cylinder Wake in the Laminar Regime",
Physics of Fluids 14(2), 810-826, 2002. ([PDF file, 381 Kb], the paper may also be found here).
Copyright (2001) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

B. Protas, A. Styczek and A. Nowakowski,

"An effective approach to computation of forces in viscous incompressible flows",
Journal of Computational Physics 159, 231-245, 2000. [PDF file, 147kb].
Copyright (2000), Elsevier Science (USA), reproduced by permission of the publisher. Single copies of this article can be downloaded and printed for the reader's personal research and study.

B. Protas, A. Babiano and N. K.-R. Kevlahan,

"On geometrical alignment properties of two-dimensional forced turbulence",
Physica D 128, 169-179, 1999. [PDF file, 619kB, Copyright (1999), with permission from Elsevier Science]

B. Protas,

"Computational study of the wake control problem",
Journal of Theoretical and Applied Mechanics 37(1),13-27, 1999.

E. Gaudin, B. Protas, S. Goujon-Durand, J. Wojciechowski and J.-E. Wesfreid,

"Spatial properties of velocity structure functions in turbulent wake flows",
Physical Review E 57(1), R9-R12, 1998. ([PDF file, 245kB], the paper may also be found here).
Copyright (1998) by the American Physical Society.

B. Protas, S. Goujon-Durand and J.-E. Wesfreid,

"Scaling properties of two dimensional turbulence in wakes behind bluff bodies",
Physical Review E 55(4), 4165-4169, 1997. ([PDF file, 198kB], the paper may also be found here).
Copyright (1997) by the American Physical Society.

Conference Proceedings

1: D. Diaz, B. Protas, F. Pons and L.B. David
2: B. Protas,
3: D. Ayala and B. Protas,
4: B. Protas,
5: B. Protas,
6: B. Protas,
7: B. Protas and T. Bewley,
8: T. Bewley and B. Protas,
9: B. Protas, K. Schneider and M. Farge,
10: B. Protas and A. Styczek,
11: B. Protas and A. Styczek,
12: B. Protas and A. Babiano,
13: B. Protas, A. Nowakowski and S. Goujon-Durand,
14: B. Protas and J.-E. Wesfreid,
15: E. Gaudin, B. Protas, S. Goujon-Durand, J. Wojciechowski, and J.-E. Wesfreid,

Preprints (to request a copy please send me an Email)

1: J. M. Foster, A. F. Galvis, B. Protas and S. J. Chapman
2: A. Ahmadi, K. J. Sanders, G. R. Goward and B. Protas
3: Zh. Gu, X. Hu, P. Matharu, B. Protas, M. Sasada and T. Yoneda

1: B. Protas, S. Llewellyn Smith and T. Sakajo,
2: D. Goluskin, B. Protas and J.-L. Thiffeault,
3: D. Goluskin, B. Protas and J.-L. Thiffeault,
4: B. Protas and P. Wald,

Recent Invited Presentations

- Workshop "Patterns in solutions to the incompressible Euler equations", Będlewo, Poland, August 2024.

- Department of Mathematics, IIT Hyderabad, Hyderabad, India, July 2024.

- 25th Canadian Symposium on Fluid Dynamics, Kingston, ON, June 2024.

- Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden, May 2024.

- The 2nd Conference of the Canadian Association for Computational Science and Engineering, Banff, AB, January 2024.

- Department of Mathematics and Statistics, The University of Calgary, Calgary, AB, 2024.

- International Congress on Industrial and Applied Mathematics (ICIAM 2023; minisymposium "Problems in incompressible fluid flows: Stability, Singularity, and Extreme Behavior), Tokyo, Japan, August 2023.

- Workshop ``Bridging Classical and Quantum Turbulence'', Cargèse, France, July 2023.

- SIAM Conference on Applications of Dynamical Systems (minisymposium "Vortex Dynamics Meets Dynamical Systems: Theory, Application, and Computation"), Portland, OR, May 2023.

- The 1st Conference of the Canadian Association for Computational Science and Engineering, Banff, AB, January 2023.

- Winter Meeting of the Canadian Mathematical Society (session "Calculus of Variations and its Applications"), Toronto, ON, December 2022.

- 24th Midwest Optimization Meeting, The University of Waterloo, Waterloo, ON , October, 2022.

- SIAM 2022 Annual Meeting (minisymposium "Recent Advances in Numerical Algorithms for Systems Modeled by PDEs"), Pittsburgh, PA, July 2022.

- CAIMS 2022 Annual Meeting (special session "Batteries: Modeling, simulation, & analysis"), Okanagan, BC, June 2022 (virtual).

- Department of Mathematics, the University of York, York, UK, June 2022.

- Workshop ``Criticality and stochasticity in quasilinear fluid systems'', American Institute of Mathematics, San Jose, CA, May 2022.

- Workshop ``Modelling and analysis of turbulent transport, mixing and scaling'', Isaac Newton Institute, Cambridge, UK, March 2022 (virtual).

- CAIMS 2021 Annual Meeting (special session "Mathematics of Batteries"), Waterloo, ON, June 2021 (virtual).

- Fluid Mechanics seminar, University of California San Diego, San Diego, CA, February 2021 (virtual).

- Workshop "Transport and Mixing in Complex and Turbulent Flows", Institute for Pure and Applied Mathematics (IPAM), UCLA, Los Angeles, CA, January 2021 (virtual).

- Workshop "Vortex Filaments", Fields Institute, Toronto, ON, November 2020 (virtual).

- Computational Mathematics Colloquium, the University of Waterloo, Waterloo, ON, February, 2020.

- Workshop "Modeling and Simulation for Quantum Condensation, Fluids and Information", Institute for Mathematical Sciences, National University of Singapore, Singapore, November 2019.

- Department of Aeronautics, Imperial College, London, UK, November 2019.

- School of Mathematics, the University of East Anglia, Norwich, UK, October 2019.

- School of Mathematics and Statistics, the University of Sheffield, Sheffield, UK, October 2019.

- 9th International Congress on Industrial and Applied Mathematics (Minisymposium "Mathematical Advances in Batteries"), Valencia, Spain, July 2019.

- Department of Mathematics, Simon Fraser University, Burnaby, BC, March, 2019.

- Department of Mathematics and Statistics, University of Victoria, Victoria, BC, February, 2019.

- Scientific Computing, Applied and Industrial Mathematics (SCAIM) seminar, University of British Columbia, Vancouver, BC, February, 2019.

- 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Vienna, Austria, February, 2019.

- School of Mathematics & Statistics, University College Dublin, Dublin, Ireland, December 2018.

- Rencontres Normandes sur les aspects theoriques et numeriques des EDP, Rouen, France, November 2018.

- 23rd Polish Conference on Fluid Mechanics (invited plenary lecture), Zawiercie, Poland, September 2018.

- 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 2018.

- School of Mathematics & Statistics, University College Dublin, Dublin, Ireland, April 2018.

- 14th International Conference on Flow Dynamics, Sendai, Japan, November 2017.

- Faculty of Mathematics and Physics, Kanazawa University, Kanazawa, Japan, October 2017.

- Workshop on Advances in Mathematical Modelling and Numerical Simulation of Superfluids , Rouen, France, August 2017.

- CAIMS 2017 Annual Meeting (special session "Nonlinear PDEs and their applications"), Halifax, NS, July 2017.

- CAIMS 2017 Annual Meeting (3rd Canadian Symposium in Numerical Analysis and Scientific Computing), Halifax, NS, July 2017.

- Workshop "Applied and Computational Complex Analysis", International Centre for Mathematical Sciences, Edinburgh, UK, May 2017.

- Inverse Problems and Image Analysis Seminar, Fields Institute, Toronto, ON, October 2016.

- 3rd International Retreat on Vortex Dynamics and Vorticity Aerodynamics, Beijing, China, August 2016.

- Department of Mechanical Science and Bioengineering, Osaka University, Osaka, Japan, August 2016.

- 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications (special session "Vortex Dynamics and Geometry: Analysis, Computations and Applications"), Orlando, FL, July 2016.

- Workshop on New Challenges in Mathematical Modeling and Numerical Simulation of Superfluids, CIRM, Marseille, France, June 2016.

- 10th International Conference on Scientific Computing and Applications (ICSCA 2016), Toronto, ON, June 2016.

- Laboratory of Fluid Mechanics and Instabilities, Ecole polytechnique f�d�rale de Lausanne (EPFL), Lausanne, Switzerland, March 2016.

- Workshop "Non-Intrusive Measurements for Unsteady Flows and Aerodynamics" (keynote lecture), Universite de Poitiers, France, October 2015.

- General Motors Global R&D, Warren, MI, September 2015.

- Workshop "Recent developments in numerical analysis with special emphasis on complex analysis", The University of Tokyo, Tokyo, Japan, July 2015.

- Laboratoire de Physique et Mecanique des Milieux Heterogenes, Ecole Superieure de Physique et de Chimie Industrielles, Paris, France, June 2015.

- Workshop "Basic issues of extreme events in turbulence", Wolfgang Pauli Institute, Vienna, Austria, May 2015.

- Workshop "Applied and Computational Complex Analysis", Imperial College, London, UK, March 2015.

- Winter Meeting of the Canadian Mathematical Society (session "Recent Advances in Variational Analysis and Linear Optimization") , Hamilton, ON, December 2014.

- Workshop "Mathematical Analysis of Turbulence" at the Institute for Pure and Applied Mathematics, UCLA, Los Angeles, CA, September 2014.

- 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (special session "Evolution Equations and Inclusions with Applications to Control, Mathematical Modeling and Mechanics"), Madrid, Spain, July 2014.

- Department of Mathematics, Kyoto University, Kyoto, Japan, May 2014.

- Department of Mathematics & Statistics, University of Ottawa, Ottawa, ON, September 2013.

- 2nd International Retreat on Vortex Dynamics and Vorticity Aerodynamics, Shanghai, China, August 2013.

- 2013 SIAM Annual Meeting (minisymposium "Stochastic Analysis, Control and Computation of Fluid Dynamics and other Physical Phenomena"), San Diego, CA, July 2013.

- Laboratoire de Math�matiques Rapha�l Salem, Universit� de Rouen, Rouen, France, June 2013.

- Department of Mathematics, the Chinese University of Hong Kong, Hong Kong, April 2013.

- National Aerospace Laboratories (Theoretical and Computational Fluid Dynamics Group), Bangalore, India, December 2012.

- IISER-ICTS Winter School On Stochastic Analysis And Control Of Fluid Flow, School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram, India, December 2012.

- Tata Institute of Fundamental Research -- Centre for Applicable Mathematics, Bangalore, India, December 2012.

- Materials Research Society 2012 Fall Meeting (symposium "Advanced Multiscale Materials Simulation -- Toward Inverse Materials Computation"), Boston, MA, November 2012.

- The 8th International Conference on Differential Equations and Dynamic Systems, University of Waterloo, Waterloo, ON, August 2012.

- Variational and Topological Methods:Theory, Applications, Numerical Simulations, and Open Problems, Northern Arizona University, Flagstaff, AZ, June 2012.

- Laboratoire de Meteorologie Dynamique, Ecole Normale Superieure, Paris, France, April 2012.

- College de France (seminar "Mathematiques Appliquees" chaired by P.-L. Lions), Paris, France, March 2012.

- Department of Mechanical Engineering, The University of Sheffield, Sheffield, UK, March 2012.

- Institut de Mecanique des Fluides de Toulouse ("Conf'luence" series), Toulouse, France, March 2012.

- Institute PPrime, Universite de Poitiers, Poitiers, France, February 2012.

- Institute of Fluid Mechanics and Heat Transfer, Vienna University of Technology, Vienna, Austria, February 2012.

- Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland, November 2011.

- Faculty of Power and Aeronautical Engineering, Warsaw University of Technology, Warsaw, Poland, October 2011.

- SIAM Conference on Control and Its Applications, Baltimore, MD, July 2011.

- 7th International Congress on Industrial and Applied Mathematics (Minisymposium "Theory, Numerical Analysis, and Applications of Sobolev Gradients"), Vancouver, BC, July 2011.

- Workshop "Complex Fluids and Flows in Industry and Nature", University of British Columbia, Vancouver, BC, July 2011.

- Department of Mathematics & Statistics, University of Ottawa, Ottawa, ON, February 2011.

- Department of Mathematics, the University of Michigan, Ann Arbor, MI, January 2011.

- 19th Canadian Symposium on Fluid Mechanics, St. John's, NL, July 2010.

- Fifth European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010, Lisbon, Portugal, June 2010.

- 34th SIAM Southeastern-Atlantic Section Conference, Raleigh, NC, March 2010.

- Department of Mathematics & Statistics, Wichita State University, Wichita, KS, February 2010.

- Faculty of Science, University of Ontario Institute of Technology, Oshawa, ON, October 2009.

- Departement des Mathematiques Appliquees, Universite Bordeaux I, Bordeaux, France, May 2009.

- SIAM Meeting on Applied Dynamical Systems, Snowbird, UT, May 2009.

- Laboratoire d'Etudes Aerodynamiques, Universite de Poitiers , Poitiers, France, May 2009.

- Winter Meeting of the Canadian Mathematical Society (session "Applied PDEs") , Ottawa, ON, December 2008.

- Advanced Optimization Laboratory, McMaster University , Hamilton, ON, October 2008.

- Industrial Physics Group, Commonwealth Scientific and Industrial Research Organisation , Sydney, NSW, Australia, August 2008.

- School of Mathematics, The University of Manchester , Manchester, UK, May 2008.

- Industrial Optimization Seminar, Fields Institute, Toronto, ON, April 2008.

- Department of Mathematics, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brasil, December 2007.

- Department of Mathematics & Statistics, University of Ottawa, Ottawa, ON, October 2007.

- Interdisciplinary Program "Bridging the Gaps", The University of Sheffield, Sheffield, UK, June 2007

- 1st Conference on Active Flow Control, Berlin, Germany, September 2006

- 17th Polish Conference on Fluid Mechanics (invited plenary lecture), Belchatow, Poland, September 2006

- Workshop on the Navier--Stokes Equation and Turbulence, Wolfgang Pauli Institute, Vienna, Austria, April 2006

- Department of Applied Mathematics, The University of Waterloo, Waterloo, ON, March, 2006

- SANDIA Workshop on Large--Scale Robust Optimization, Santa Fe, NM, August 2005.

- AFOSR Workshop on Feedback Flow Control, Jackson Hole, WY, July 2005.

- Workshop on Analysis and Control of Mixing with an Applications to Micro and Macro Flow Processes, Udine, Italy, June 2005.

- Institute of Aeronautics & Applied Mechanics, Warsaw University of Technology, Warsaw, Poland, March 2005.

- Department of Mathematics & Statistics, Wichita State University, Wichita, KS, January 2005.

- Department of Mathematics & Statistics, University of Ottawa, Ottawa, ON, November 2004.

- Institute for Applied and Interdisciplinary Mathematics, University of Toronto, Toronto, ON, November 2004.

- Department of Computer Science, University of Toronto, Toronto, ON, November 2004.

- Departement des Mathematiques Appliquees, Universite Bordeaux I, Bordeaux, France, June 2004.

- Boundary Layer Wind Tunnel Laboratory, University of Western Ontario, London, ON, January 2004.

- Laboratoire de Physique et Mecanique des Milieux Heterogenes, Ecole Superieure de Physique et de Chimie Industrielles, Paris, France, December 2003.

- Laboratoire de Meteorologie Dynamique, Ecole Normale Superieure, Paris, France, December 2003.

- Laboratoire des Fluides et Acoustique, Ecole Nationale Superieure de Techniques Avancees, Palaiseau, France, December 2003.

- Institute of Computational Science, Swiss Federal Institute of Technology, Zurich, Switzerland, December 2003.

- LadHyX, Ecole Polytechnique, Palaiseau, France, June 2003.

- Institut de Mecanique des Fluides de Toulouse, Toulouse, France, June 2003.

- Department of Mathematics, University of Southern California, Los Angeles, CA, April 2003.

- United Technologies Research Center, Hartford, CT, January 2001.

- Hermann-F�ttinger-Institut, Berlin, Germany, October 2000.

Recent Conference Presentations

- 25th International Congress of Theoretical and Applied Mechanics, Daegu, Korea, August 2024.

- 75th Annual Meeting of the APS Division of Fluid Dynamics, Washington, DC, November 2023.

- 74th Annual Meeting of the APS Division of Fluid Dynamics, Indianapolis, IN, November 2022.

- 18th Symposium on Fuel Cell and Battery Modeling and Experimental Validation, Schloss Hochenkammer, Germany, March 2022.

- 73rd Annual Meeting of the APS Division of Fluid Dynamics, Phoenix, AZ, November 2021.

- 17th Symposium on Fuel Cell and Battery Modeling and Experimental Validation, Sion, Switzerland, April 2021 (virtual).

- 72nd Annual Meeting of the APS Division of Fluid Dynamics, Chicago, IL, November 2020 (virtual).

- 2020 SIAM Annual Meeting (minisymposium "Vortex and vortex-body dynamics"), Toronto, ON, July 2020 (virtual).

- IUTAM Symposium on Vortex Dynamics in Science, Nature and Technology, La Jolla, CA, June 2019.

- 16th Symposium on Fuel Cell and Battery Modeling and Experimental Validation, Braunschweig, Germany, March 2019.

- 71st Annual Meeting of the APS Division of Fluid Dynamics, Atlanta, GA, November 2018.

- IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics, Christchurch, New Zealand, February 2018.

- 70th Annual Meeting of the APS Division of Fluid Dynamics, Denver, CO, November 2017.

- IUTAM Symposium on Dynamics and Topology of Vorticity and Vortices, Carry-le-Rouet, France, June 2017.

- 14th Symposium on Fuel Cell and Battery Modeling and Experimental Validation, Karlsruhe, Germany, March 2017.

- 69th Annual Meeting of the APS Division of Fluid Dynamics, Portland, OR, November 2016.

- IUTAM Symposium on Helicity, structures and singularity in fluid and plasma dynamics, Venice, Italy, April 2016.

- 13th Symposium on Fuel Cell and Battery Modeling and Experimental Validation, Lausanne, Switzerland, March 2016.

- 68th Annual Meeting of the APS Division of Fluid Dynamics, Boston, MA, November 2015.

- 8th International Congress on Industrial and Applied Mathematics (Minisymposium "Extreme Behavior in Flow Models: Analysis and Computations"), Beijing, China, August 2015.

- 12th Symposium on Fuel Cell and Battery Modeling and Experimental Validation, Freiburg, Germany, March 2015.

- Workshop "Modern Applications of Complex Variables: Modeling, Theory and Computation", BIRS, Banff, AB, January 2015.

- 67th Annual Meeting of the APS Division of Fluid Dynamics, San Francisco, CA, November 2014.

- 66th Annual Meeting of the APS Division of Fluid Dynamics, Pittsburgh, PA, November 2013.

- IUTAM Symposium on Vortex Dynamics: Formation, Structure and Function , Fukuoka, Japan, March 2013.

- 65th Annual Meeting of the APS Division of Fluid Dynamics, San Diego, CA, November 2012.

- 9th European Fluids Mechanics Conference, Rome, Italy, September 2012

- IUTAM Symposium on Topological Fluid Dynamics, Isaac Newton Institute, Cambridge, UK, July 2012.

- 20th Canadian Symposium on Fluid Mechanics, Toronto, ON, June 2012.

- 64th Annual Meeting of the APS Division of Fluid Dynamics, Baltimore, MD, November 2011.

- 13th European Turbulence Conference, Warsaw, Poland, September 2011.

- ECCOMAS Conference on CFD and Optimization, Antalya, Turkey, May 2011.

- 63rd Annual Meeting of the APS Division of Fluid Dynamics, Long Beach, CA, November 2010.

- 8th European Fluids Mechanics Conference, Bad Reichenhal, Germany, September 2010

- International Conference on Inverse Problems, Wuhan, China, April 2010.

- 62nd Annual Meeting of the APS Division of Fluid Dynamics, Minneapolis, MN, November 2009.

- 10th Joint European Thermodynamics Conference, Copenhagen, Denmark, June 2009

- Conference Optimization with interfaces and free boundaries, Regensburg, Germany, March 2009

- 61st Annual Meeting of the APS Division of Fluid Dynamics, San Antonio, TX, November 2008.

- 22nd International Congress of Theoretical and Applied Mechanics, Adelaide, SA, Australia, August 2008.

- 18th Canadian Symposium on Fluid Mechanics, Montreal, QC, June 2008.

- Fifth Conference on Bluff Body Wakes and Vortex-Induced Vibrations Costa do Sau�pe, Bahia, Brazil, December 2007.

- 60th Annual Meeting of the APS Division of Fluid Dynamics, Salt Lake City, UT, November 2007.

- Second Mathematical Programming Society International Conference on Continuous Optimization, Hamilton, Canada, August 2007.

- 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 2007.

- IUTAM Symposium on Unsteady Separated Flows and Their Control, Corfu, Greece, June 2007.

- Workshop on the Kinematic Simulation of Turbulence, Sheffield, UK, June 2007.

- 59th Annual Meeting of the APS Division of Fluid Dynamics, Tampa Bay, FL, November 2006.

- 6th European Fluid Mechanics Conference, Stockholm, Sweden,

June 2006.

- 17th Canadian Symposium on Fluid Mechanics, Toronto, ON, June 2006.

- CAIMS-MITACS 2006 Joint Annual Conference, Toronto, ON, June 2006.

- 58th Annual Meeting of the APS Division of Fluid Dynamics, Chicago, IL, November 2005.

- SIAM Conference on Control and Its Applications, New Orleans, LA, July 2005.

- Workshop on Analysis and Control of Mixing with an Applications to Micro and Macro Flow Processes, Udine, Italy, June 2005.

- 57th Annual Meeting of the APS Division of Fluid Dynamics, Seattle, WA, November 2004.

- Mathematics Conference in Honor of John Neuberger's 70th Birthday, Denton, TX, October 2004.

- 4th Annual McMaster Optimization Conference: Theory and Applications (MOPTA04), Hamilton, ON, July 2004.

- 10th European Turbulence Conference, Trondheim, Norway, June 2004.

- 6th Workshop on Adjoint Applications in Dynamic Meteorology, Acquafredda di Maratea, Italy, May 2004.

- EUROMECH Colloquium #454 "Large Eddy Simulation, Coherent Vortex Simulation and Vortex Methods for Turbulent Flows", Marseille, France, April 2004.

- 56th Annual Meeting of the APS Division of Fluid Dynamics, Rutherford, NJ, November 2003.

- 7th US National Congress on Computational Mechanics, Albuquerque, NM, July 2003.

- AMS-IMS-SIAM Summer Research Conference on Hydrodynamics Stability and Flow Control, Snowbird, UT, July 2003.

- 55th Annual Meeting of the APS Division of Fluid Dynamics, Dallas, TX, November 2002.

- AFOSR Dynamics and Control Workshop, Pasadena, CA, August 2002.

- 9th European Turbulence Conference, Southampton, UK, July 2002.

- 5th Workshop on Adjoint Applications in Dynamic Meteorology, Mt.~Bethel, PA, April 2002.

- 4th International Workshop on Vortex Flows and Related Numerical Methods, Santa Barbara, CA, March 2002.

- 54th Annual Meeting of the APS Division of Fluid Dynamics, San Diego, CA, November 2001.

- SIAM Conference on Control and its Applications, San Diego, CA, July 2001.

- Southern California Nonlinear Control Workshop, San Diego, CA, June 2001.

- 53rd Annual Meeting of the APS Division of Fluid Dynamics, Washington D.C., November 2000.

- 8th European Turbulence Conference, Barcelona, Spain, July 2000.

- IUTAM Symposium on Bluff Body Wakes and Vortex-induced Vibration, Marseille, France, June 2000.

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Recent Conference Presentations