Bartosz Protas - McMaster Experts

Affiliations

Faculty of Science, McMaster University
Professor, Mathematics and Statistics, Faculty of Science
Member, School of Computational Science and Engineering,
Acting Department Chair, Mathematics & Statistics, McMaster University

Research Areas

Scholarly Activity in McMaster Experts

Co-author Network

co-investigator network

Co-investigator Network

Scholarly Activity
Research
Teaching
Background
Contact
View All

selected scholarly activity

chapters
- Nonlinear Preconditioning in Problems of Optimal Control for Fluid Systems. Courses and Lectures - International Centre for Mechanical Sciences. 351-368. 2009
conferences
- Finite-time blow-up problem and the maximum growth of palinstrophy. ETC 2013 - 14th European Turbulence Conference. 2020
- On the optimal vorticity function of vortex rings. Proceedings - 15th European Turbulence Conference, ETC 2015. 2015
- On the Maximum Enstrophy Growth in Burgers Equation. Journal of Physics: Conference Series. 022043-022043. 2011
- Vortex Models for Feedback Stabilization of Wake Flows. Notes on Numerical Fluid Mechanics and Multidisciplinary Design. 422-436. 2007
- Alignment properties in Fourier and Wavelet filtered forced two-dimensional turbulence. ADVANCES IN TURBULENCE VIII. 793-796. 2000
- Theoretical and Computational Study of the Wake Control Problem. Fluid Mechanics and its Applications. 237-242. 1999
- On Geometrical Alignment Properties of Two-Dimensional Forced Turbulence. Fluid Mechanics and its Applications. 433-436. 1998
- Investigation of the Spatial Structure of Turbulence in the Wake Behind Bluff Bodies. Fluid Mechanics and its Applications. 275-276. 1996
- Application of the Variational Approach for the Computation of Forces around a Wing and Comparison with other Methods
- From the Velocity and Vorticity Fields to Hydrodynamic Forces — A Survey of Mathematical and Computational Approaches
journal articles
- Applied and computational complex analysis in the study of nonlinear phenomena. Physica D : Non-linear phenomena. 460:134025-134025. 2024
- Applied and computational complex analysis in the study of nonlinear phenomena. Physica D : Non-linear phenomena. 2024
- Systematic Search for Singularities in 3D Euler Flows. Journal of Nonlinear Science. 33. 2023
- Learning Optimal Forms of Constitutive Relations Characterizing Ion Intercalation from Data in Mathematical Models of Lithium-Ion Batteries. Journal of Physical Chemistry C. 127:17508-17523. 2023
- An accelerated Sobolev gradient method for unconstrained optimization problems based on variable inner products. Journal of Computational and Applied Mathematics. 420:114833-114833. 2023
- On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity. Physica D : Non-linear phenomena. 441:133517-133517. 2022
- Searching for Singularities in Navier–Stokes Flows Based on the Ladyzhenskaya–Prodi–Serrin Conditions. Journal of Nonlinear Science. 32. 2022
- Data-driven optimal closures for mean-cluster models: Beyond the classical pair approximation. Physical Review E. 106:025313. 2022
- Editorial: Mathematical problems in physical fluid dynamics: part II. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 380:20210057. 2022
- Editorial: Mathematical problems in physical fluid dynamics: part I. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 380:20210056. 2022
- Systematic search for extreme and singular behaviour in some fundamental models of fluid mechanics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 380:20210035. 2022
- Optimal eddy viscosity in closure models for two-dimensional turbulent flows. Physical Review Fluids. 7. 2022
- Application of a variational approach to the computation of forces around a wing. Experiments in Fluids. 63. 2022
- On Uncertainty Quantification in the Parametrization of Newman-Type Models of Lithium-Ion Batteries. Journal of the Electrochemical Society. 168:110519-110519. 2021
- Finite rotating and translating vortex sheets. Journal of Fluid Mechanics. 923. 2021
- Stability of confined vortex sheets. Theoretical and Computational Fluid Dynamics. 35:109-118. 2021
- Discerning models of phase transformations in porous graphite electrodes: Insights from inverse modelling based on MRI measurements. Electrochimica Acta. 349:136290-136290. 2020
- Maximum amplification of enstrophy in three-dimensional Navier–Stokes flows. Journal of Fluid Mechanics. 893. 2020
- Rotating equilibria of vortex sheets. Physica D : Non-linear phenomena. 403:132286-132286. 2020
- Optimal Closures in a Simple Model for Turbulent Flows. SIAM Journal on Scientific Computing. 42:B250-B272. 2020
- On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations. Advances in Computational Mathematics. 45:3195-3216. 2019
- Linear stability of inviscid vortex rings to axisymmetric perturbations. Journal of Fluid Mechanics. 874:1115-1146. 2019
- Bayesian uncertainty quantification in inverse modeling of electrochemical systems. Journal of Computational Chemistry. 40:740-752. 2019
- Incorporating Dendrite Growth into Continuum Models of Electrolytes: Insights from NMR Measurements and Inverse Modeling. Journal of the Electrochemical Society. 166:A1591-A1602. 2019
- Harnessing the Kelvin–Helmholtz instability: feedback stabilization of an inviscid vortex sheet. Journal of Fluid Mechanics. 852:146-177. 2018
- Binder migration during drying of lithium-ion battery electrodes: Modelling and comparison to experiment. Journal of Power Sources. 393:177-185. 2018
- A gradient method in a Hilbert space with an optimized inner product: achieving a Newton-like convergence 2018
- Maximum Rate of Growth of Enstrophy in Solutions of the Fractional Burgers Equation. Journal of Nonlinear Science. 28:395-422. 2018
- The Effect of Ionic Aggregates on the Transport of Charged Species in Lithium Electrolyte Solutions. Journal of the Electrochemical Society. 165:H561-H567. 2018
- Transient growth in stochastic Burgers flows. Discrete and Continuous Dynamical Systems - Series B. 23:2371-2391. 2018
- Linear feedback stabilization of point-vortex equilibria near a Kasper wing. Journal of Fluid Mechanics. 827:121-154. 2017
- Structure Solution of Metal-Oxide Li Battery Cathodes from Simulated Annealing and Lithium NMR Spectroscopy. Chemistry of Materials. 29:5550-5557. 2017
- Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows. Journal of Fluid Mechanics. 818:772-806. 2017
- Causes of binder damage in porous battery electrodes and strategies to prevent it. Journal of Power Sources. 350:140-151. 2017
- A Mathematical Model for Mechanically-Induced Deterioration of the Binder in Lithium-Ion Electrodes. SIAM Journal on Applied Mathematics. 77:2172-2198. 2017
- Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization. SIAM Journal on Scientific Computing. 39:B1102-B1129. 2017
- Drift due to two obstacles in different arrangements. Theoretical and Computational Fluid Dynamics. 30:529-542. 2016
- Linear stability of Hill’s vortex to axisymmetric perturbations. Journal of Fluid Mechanics. 799:579-602. 2016
- Inverse Modelling Approach to the Determination of Concentration-Dependent Transport Properties in Electrolytes: The Effect of Ion Pairing. ECS Meeting Abstracts. MA2016-03:1074-1074. 2016
- Three-Dimensional Investigation of Cycling-Induced Microstructural Changes in Lithium-Ion Battery Cathodes. ECS Meeting Abstracts. MA2016-03:468-468. 2016
- 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
- Accurate Characterization of Ion Transport Properties in Binary Symmetric Electrolytes Using In Situ NMR Imaging and Inverse Modeling. Journal of Physical Chemistry B. 119:12238-12248. 2015
- Optimal reconstruction of inviscid vortices. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471:20150323-20150323. 2015
- Determining the Transport Properties of Electrolyte Solutions By in-Situ NMR Imaging and Inverse Modeling. ECS Meeting Abstracts. MA2015-02:404-404. 2015
- Homogenization Study of the Effects of Cycling on the Electronic Conductivity of Commercial Lithium-Ion Battery Cathodes. Journal of Physical Chemistry C. 119:12199-12208. 2015
- Computation of steady incompressible flows in unbounded domains. Computers and Fluids. 112:94-107. 2015
- Optimal nonlinear eddy viscosity in Galerkin models of turbulent flows. Journal of Fluid Mechanics. 766:337-367. 2015
- Wake effects on drift in two-dimensional inviscid incompressible flows. Physics of Fluids. 26. 2014
- Vortices, maximum growth and the problem of finite-time singularity formation. Fluid Dynamics Research. 46:031404-031404. 2014
- An Optimal Model Identification for Oscillatory Dynamics with a Stable Limit Cycle. Journal of Nonlinear Science. 24:245-275. 2014
- Maximum palinstrophy growth in 2D incompressible flows. Journal of Fluid Mechanics. 742:340-367. 2014
- Effective Transport Properties of Porous Electrochemical Materials — A Homogenization Approach. Journal of the Electrochemical Society. 161:E3066-E3077. 2014
- On Oseen flows for large Reynolds numbers. Theoretical and Computational Fluid Dynamics. 27:665-680. 2013
- Optimal reconstruction of material properties in complex multiphysics phenomena. Journal of Computational Physics. 242:889-914. 2013
- A framework for linear stability analysis of finite-area vortices. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 469:20120709-20120709. 2013
- Application of scaled nonlinear conjugate-gradient algorithms to the inverse natural convection problem. Optimization Methods and Software. 28:159-185. 2013
- A Method for Geometry Optimization in a Simple Model of Two-Dimensional Heat Transfer. SIAM Journal on Scientific Computing. 35:B1105-B1131. 2013
- Computation of effective free surfaces in two phase flows. Physics of Fluids. 24. 2012
- Vortex design problem. Journal of Computational and Applied Mathematics. 236:1926-1946. 2012
- On calculation of hydrodynamic forces for steady flows in unbounded domains. Journal of Fluids and Structures. 27:1455-1460. 2011
- On maximum enstrophy growth in a hydrodynamic system. Physica D : Non-linear phenomena. 240:1553-1563. 2011
- On optimal reconstruction of constitutive relations. Physica D : Non-linear phenomena. 240:1228-1244. 2011
- Controlling the dual cascade of two-dimensional turbulence. Journal of Fluid Mechanics. 668:202-222. 2011
- Regularization of the backward-in-time Kuramoto–Sivashinsky equation. Journal of Computational and Applied Mathematics. 234:398-406. 2010
- On continuation of inviscid vortex patches. Physica D : Non-linear phenomena. 239:190-201. 2010
- Adjoint-based optimization of thermo-fluid phenomena in welding processes. Journal of Engineering Mathematics. 65:201-220. 2009
- An inverse model for a free-boundary problem with a contact line: Steady case. Journal of Computational Physics. 228:4893-4910. 2009
- Cadmium, Lead, and Other Metals in Relation to Semen Quality: Human Evidence for Molybdenum as a Male Reproductive Toxicant. Environmental Health Perspectives. 116:1473-1479. 2008
- Vortex dynamics models in flow control problems. Nonlinearity. 21:R203-R250. 2008
- Adjoint-based optimization of PDE systems with alternative gradients. Journal of Computational Physics. 227:6490-6510. 2008
- Adjoint-based optimization of PDEs in moving domains. Journal of Computational Physics. 227:2707-2723. 2008
- 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
- Computational Functional Analysis – Second edition R.E. Moore and M.J. Cloud Horwood Publishing, Coll House, Westergate, Chichester, West Sussex PO20 3QL, UK. 2007. 180pp. Illustrated. £27.50. ISBN 978-1- 904275-24-4.. Aeronautical Journal. 111:603-603. 2007
- Center manifold analysis of a point vortex model of vortex shedding with control. Physica D : Non-linear phenomena. 228:179-187. 2007
- Higher-order Föppl models of steady wake flows. Physics of Fluids. 18. 2006
- Linear feedback stabilization of laminar vortex shedding based on a point vortex model. Physics of Fluids. 16:4473-4488. 2004
- Skin friction and pressure: the “footprints” of turbulence. Physica D : Non-linear phenomena. 196:28-44. 2004
- A computational framework for the regularization of adjoint analysis in multiscale PDE systems. Journal of Computational Physics. 195:49-89. 2004
- On the relation between the global modes and the spectra of drag and lift in periodic wake flows. Comptes Rendus - Mecanique. 331:49-54. 2003
- Geometrical alignment properties in Fourier- and wavelet-filtered statistically stationary two-dimensional turbulence. Physical Review E. 66:046307. 2002
- Optimal rotary control of the cylinder wake in the laminar regime. Physics of Fluids. 14:2073-2087. 2002
- Drag force in the open-loop control of the cylinder wake in the laminar regime. Physics of Fluids. 14:810-826. 2002
- On the ‘vorticity’ formulation of the adjoint equations and its solution using the vortex method. Journal of Turbulence. 3:N48-N48. 2002
- An Effective Approach to Computation of Forces in Viscous Incompressible Flows. Journal of Computational Physics. 159:231-245. 2000
- On geometrical alignment properties of two-dimensional forced turbulence. Physica D : Non-linear phenomena. 128:169-179. 1999
- Flow in a 2D duct with moving boundaries - vortex blob approach. ESAIM: Proceedings and Surveys. 7:349-358. 1999
- Spatial properties of velocity structure functions in turbulent wake flows. Physical Review E. 57:R9-R12. 1998
- Scaling properties of two-dimensional turbulence in wakes behind bluff bodies. Physical Review E. 55:4165-4169. 1997
preprints
presentations
- On Linear Stability of Inviscid Vortices 2024
- On the Linear Stability of the Lamb-Chaplygin Dipole. Journal of Fluid Mechanics. 2023
- Systematic search for singularities in 3D Navier-Stokes and Euler flows 2023
- Probing Fundamental Bounds in Turbulence Using Variational Optimization Methods 2023
- On Linear Stability of Inviscid Vortices 2023
- Optimal Eddy Viscosity in Closure Models for Turbulent Flows 2023
theses
- Singularity formation in the deterministic and stochastic fractional Burgers equation. Physica D : Non-linear phenomena. 2022