Dr Matthew Moore

Dr Matthew Moore

Lecturer in Applied Mathematics

Faculty and Department

  • Faculty of Science and Engineering
  • Department of Physics and Mathematics


  • MA (University of Oxford)
  • MSc (University of Oxford)
  • PhD (University of Oxford)


I am an applied mathematician specializing in developing models for industrial and real-world problems. I employ a range of sophisticated analytical and numerical techniques such as asymptotic analysis and applied complex analysis to gain insight into the key underlying physics of a problem.

I undertook my DPhil in Mathematics at the University of Oxford from 2010-2014. My research focussed on water-entry & impact dynamics, with applications in ship slamming, droplet impact and jet break-up / aerosol formation. In particular, I studied 'oblique' water-entry, in which a solid body enters a liquid at a sharp angle - think a sea-plane landing on the ocean, or skimming a stone at the seaside. My research on oblique impact was a finalist for the IMA Lighthill-Thwaites prize in 2013.

After finishing my DPhil, I spent three years at Imperial College London working on the Innovate UK-funded SANTANA project looking at ice formation on aircraft. The work was in collaboration with Bombardier.

In 2017, I moved back to Oxford to undertake the Darby Fellowship in Applied Mathematics at Lincoln College, an early-career research position. I established a number of new collaborations looking at droplet impact, the famous 'coffee-ring effect', as well as several projects with Oxford Engineering looking at fretting fatigue and material wear.

I took up my current position as Lecturer in Applied Mathematics at Hull in September 2021.

I am currently lecturer for two undergraduate Mathematics courses:

- Analysis,

- Partial Differential Equations.

Recent outputs

View more outputs

Journal Article

Introducing pre-impact air-cushioning effects into the Wagner model of impact theory

Moore, M. R. (2021). Introducing pre-impact air-cushioning effects into the Wagner model of impact theory. Journal of engineering mathematics, 129(1), https://doi.org/10.1007/s10665-021-10137-z

Droplet impact onto a spring-supported plate: analysis and simulations

Negus, M. J., Moore, M. R., Oliver, J. M., & Cimpeanu, R. (2021). Droplet impact onto a spring-supported plate: analysis and simulations. Journal of engineering mathematics, 128(1), https://doi.org/10.1007/s10665-021-10107-5

Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state

Andresen, H., Fleury, R., Moore, M., & Hills, D. (2021). Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state. Journal of the Mechanics and Physics of Solids, 146, https://doi.org/10.1016/j.jmps.2020.104214

Representation of incomplete contact problems by half-planes

Andresen, H., Hills, D., & Moore, M. (2021). Representation of incomplete contact problems by half-planes. European Journal of Mechanics - A/Solids, 85, https://doi.org/10.1016/j.euromechsol.2020.104138

Boundary layers in Helmholtz flows

Moore, M. R., Cimpeanu, R., Ockendon, H., Ockendon, J. R., & Oliver, J. M. (2020). Boundary layers in Helmholtz flows. Journal of Fluid Mechanics, 882, https://doi.org/10.1017/jfm.2019.832

Research interests

The majority of my research background is in continuum mechanics - particularly fluid dynamics. I have worked for a number of years in problems on impact dynamics and splashing, with applications varying from ship hydrodynamics to ink-jet & 3D printing to aerosol formation and composition.

More recently, I have been interested in droplet evaporation and the 'coffee-ring effect'. This has applications in, for example, aligning DNA molecules to aid mapping, achieving a uniform deposition in inkjet printing and in printing microstructures and colloid arrays.

I have also worked extensively in solid mechanics, in particular in contact mechanics. I have worked with a number of industrial partners such as Rolls Royce and FMC/Equinor looking at the problem of partial slip & fretting fatigue in large industrial machinery such as the in wind turbines and oil-well heads.

Postgraduate supervision

If you are looking to do a PhD in industrial &applied mathematics, my research interests cover:

- Fluid dynamics - splashing & impacts, evaporation & the coffee-ring effect

- Solid mechanics - wear and lubrication in contact mechanics & tribology.

If any of these sound interesting, get in touch. Moreover, if you have ideas about research in different areas of applied mathematics, please let me know as I am always interested in looking into new areas!