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: 17.

2025

Liu, Nicholas, Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Bush, John W. M. (2025) Wave- and potential-driven instabilities in orbital pilot-wave dynamics. Journal of Fluid Mechanics, (Accepted for Publication)

Kay, Adam F., Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Bush, John W.M. (2025) Classical pilot-wave dynamics in three dimensions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, (Accepted for Publication)

Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Bush, John W.M. (2025) The energetics of pilot-wave hydrodynamics. Journal of Fluid Mechanics, (Accepted for Publication)

2024

Abraham, Abel J., Malkov, Stepan, Ljubetic, Frane A., Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Saenz, Pedro J. (2024) Anderson localization of walking droplets. Physical Review X, 14(3), 031047. (doi: 10.1103/PhysRevX.14.031047)

2023

Guan, Jian H., Magoon, Connor W., Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705, Camassa, Roberto and Saenz, Pedro J. (2023) Traveling Faraday waves. Physical Review Fluids, 8, 110501. (doi: 10.1103/PhysRevFluids.8.110501)

Liu, Nicholas, Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Bush, John 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, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Milewski, Paul 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, Stuart J., Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Rosales, Rodolfo 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, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Bush, John 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, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 (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, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 (2020) The Who Wants to be a Millionaire dilemma. Mathematics Magazine, 93(5), pp. 374-377. (doi: 10.1080/0025570X.2020.1826848)

Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Bush, John 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, Matthew ORCID: https://orcid.org/0000-0002-4232-1705, Turton, Sam E. and Bush, John 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. ORCID: https://orcid.org/0000-0002-4232-1705 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, Matthew ORCID: https://orcid.org/0000-0002-4232-1705, Milewski, Paul A. and Wang, Zhan (2020) Faraday pilot-wave dynamics in a circular corral. Journal of Fluid Mechanics, 891, A3. (doi: 10.1017/jfm.2020.140)

2018

Durey, Matthew ORCID: https://orcid.org/0000-0002-4232-1705, Milewski, Paul A. and Bush, John 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, Matthew ORCID: https://orcid.org/0000-0002-4232-1705 and Milewski, Paul 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 Jun 14 16:41:28 2025 BST.

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Number of items: 17.

Articles