Dr Matthew Durey

Lecturer in Applied Mathematics (Mathematics)

Biography

I am currently a Lecturer in Applied Mathematics. Before coming to Glasgow, I was an Instructor in Applied Mathematics at Massachusetts Institute of Technology (MIT). I completed my Ph.D. at the University of Bath in 2018.

Research interests

I am an applied mathematician working on the theoretical modelling, analysis and simulation of physical and industrial systems. To identify and elucidate the fundamental mechanisms underpinning different phenomena, I develop first-principles models that can be systematically explored using a wide range of mathematical, computational and statistical techniques. I work closely with experimental researchers to ensure that the models address the key issues of each problem, iterating between theory and the laboratory to build a complete physical picture.

My research interests lie primarily at the intersections of fluid mechanics, collective dynamics, and applied dynamical systems. One of my long-standing interests is the field of pilot-wave hydrodynamics, in which a millimetric droplet bounces and self-propels across the surface of a vertically vibrating liquid bath. My research programme has since expanded to include nonlinear wave resonance, pattern formation, and problems arising in industry.

Research groups

Continuum mechanics

Publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2021 | 2020 | 2018

Number of items: 15.

2025

Durey, M. and Bush, J. W.M. (2025) The energetics of pilot-wave hydrodynamics. Journal of Fluid Mechanics, (Accepted for Publication)

2024

Abraham, A. J., Malkov, S., Ljubetic, F. A., Durey, M. and Saenz, P. J. (2024) Anderson localization of walking droplets. Physical Review X, 14(3), 031047. (doi: 10.1103/PhysRevX.14.031047)

2023

Guan, J. H., Magoon, C. W., Durey, M. , Camassa, R. and Saenz, P. J. (2023) Traveling Faraday waves. Physical Review Fluids, 8, 110501. (doi: 10.1103/PhysRevFluids.8.110501)

Liu, N., Durey, M. and Bush, J. W. M. (2023) Pilot-wave dynamics in a rotating frame: the onset of orbital instability. Journal of Fluid Mechanics, 973, A4. (doi: 10.1017/jfm.2023.742)

Durey, M. and Milewski, P. A. (2023) Resonant triad interactions of gravity waves in cylindrical basins. Journal of Fluid Mechanics, 966, A25. (doi: 10.1017/jfm.2023.441)

2021

Thomson, S. J., Durey, M. and Rosales, R. R. (2021) Discrete and periodic complex Ginzburg-Landau equation for a hydrodynamic active lattice. Physical Review E, 103(6), 062215. (doi: 10.1103/PhysRevE.103.062215) (PMID:34271671)

Durey, M. and Bush, J. W.M. (2021) Classical pilot-wave dynamics: the free particle. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(3), 033136. (doi: 10.1063/5.0039975) (PMID:33810713)

2020

Durey, M. (2020) Bifurcations and chaos in a Lorenz-like pilot-wave system. Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(10), 103115. (doi: 10.1063/5.0020775) (PMID:33138446)

Durey, M. (2020) The Who Wants to be a Millionaire dilemma. Mathematics Magazine, 93(5), pp. 374-377. (doi: 10.1080/0025570X.2020.1826848)

Durey, M. and Bush, J. W.M. (2020) Hydrodynamic quantum field theory: the onset of particle motion and the form of the pilot wave. Frontiers in Physics, 8, 300. (doi: 10.3389/fphy.2020.00300)

Durey, M. , Turton, S. E. and Bush, J. W. M. (2020) Speed oscillations in classical pilot-wave dynamics. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476(2239), 20190884. (doi: 10.1098/rspa.2019.0884) (PMID:32831603) (PMCID:PMC7426047)

Thomson, S. J., Durey, M. and Rosales, R. R. (2020) Collective vibrations of a hydrodynamic active lattice. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476(2239), 20200155. (doi: 10.1098/rspa.2020.0155) (PMID:32831612) (PMCID:PMC7426053)

Durey, M. , Milewski, P. A. and Wang, Z. (2020) Faraday pilot-wave dynamics in a circular corral. Journal of Fluid Mechanics, 891, A3. (doi: 10.1017/jfm.2020.140)

2018

Durey, M. , Milewski, P. A. and Bush, J. W. M. (2018) Dynamics, emergent statistics, and the mean-pilot-wave potential of walking droplets. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(9), 096108. (doi: 10.1063/1.5030639) (PMID:30278646)

Durey, M. and Milewski, P. A. (2018) Faraday wave–droplet dynamics: discrete-time analysis. Journal of Fluid Mechanics, 821, pp. 296-329. (doi: 10.1017/jfm.2017.235)

This list was generated on Sat Feb 22 15:38:03 2025 GMT.

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