Projects per year
Before my current position with the University of Bath, I was a lecturer with the Industrially Focused Mathematical Modelling (InFoMM) group at the University of Oxford. I was a Darby Fellow at Lincoln College from 2012-2016, and a research associate and lecturer (2010-2012) joint between Princeton University's Program in Computational and Applied Mathematics (PACM) and the Complex Fluids Group of the Department of Mechanical and Aerospace Engineering.
I completed my doctorate as a Clarendon scholar from 2007-2010 with the Oxford Centre for Industrial and Applied Mathematics, and as a graduate student with Balliol College. Before that, I did my undergraduate and Master's degrees in Canada. I grew up in Ottawa, Ontario.
My research is motivated by a range of physical applications in fluid and solid mechanics, from classical hydrodynamics and wave-structure interactions, to thin film flow and elastocapillary systems. My primary area of expertise concerns the study of problems that involve a breakdown of traditional techniques in perturbation theory. Many of these problems involve the study of nonlinear differential equations and require the development of specialized methodologies and techniques, such as exponential asymptotics or asymptotics beyond-all-orders.
Mathematics, Doctor of Philosophy, Exponential asymptotics and free-surface flows, University of Oxford
1 Oct 2007 → 1 Oct 2010
Award Date: 1 Oct 2010
- QC Physics
- fluid dynamics
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Exponential asymptotics for multi-dimensional systems in fluid mechanics
Engineering and Physical Sciences Research Council
1/04/21 → 1/08/24
Project: Research council
Bridging Pure and Applied Approaches in Exponential Asymptotics
24/07/17 → 1/10/18
Project: Research council
Exponential asymptotics and the generation of free-surface flows by submerged point vorticesShelton, J. & Trinh, P., 7 Mar 2023, In: Journal of Fluid Mechanics. 958, A29.
Research output: Contribution to journal › Article › peer-review
Exponential asymptotics for steady parasitic capillary ripples on steep gravity wavesShelton, J. & Trinh, P., 25 May 2022, In: Journal of Fluid Mechanics. 939, A17.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile2 Citations (SciVal)27 Downloads (Pure)
Multiple-scales analysis of wave evolution in the presence of rigid vegetationWong, C., Dimakopoulos, A., Trinh, P. & Chapman, J., 25 Mar 2022, In: Journal of Fluid Mechanics. 935, A3, A3.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile1 Citation (SciVal)19 Downloads (Pure)
On the structure of steady parasitic gravity-capillary waves in the small surface tension limitShelton, J., Milewski, P. & Trinh, P. H., 10 Sept 2021, In: Journal of Fluid Mechanics. 922, A16.
Research output: Contribution to journal › Article › peer-reviewOpen Access3 Citations (SciVal)
The ventilation of buildings and other mitigating measures for COVID-19: a focus on wintertimeBurridge, H. C., Bhagat, R. K., Stettler, M. E. J., Kumar, P., De Mel, I., Demis, P., Hart, A., Johnson-Llambias, Y., King, M-F., Klymenko, O., McMillan, A., Morawiecki, P., Pennington, T., Short, M., Sykes, D., Trinh, P. H., Wilson, S. K., Wong, C., Wragg, H., Davies Wykes, M. S., & 10 others, 17 Mar 2021, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 477, 2247, p. 20200855 1 p.
Research output: Contribution to journal › Article › peer-reviewOpen Access41 Citations (SciVal)