Projects per year
Personal profile
Research interests
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.
Education/Academic qualification
Mathematics, Doctor of Philosophy, Exponential asymptotics and free-surface flows, University of Oxford
1 Oct 2007 → 1 Oct 2010
Award Date: 1 Oct 2010
Keywords
- QC Physics
- fluid dynamics
- mechanics
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Collaborations and top research areas from the last five years
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Robust and justifiable mathematical models for flood management and environmental predictions
Trinh, P. (PI)
1/01/25 → 31/12/25
Project: UK charity
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PO8430 1374 AKT University of Bath with Wessex Water
Trinh, P. (PI)
Innovate UK, Innovate UK Business Connect
25/03/24 → 24/07/24
Project: Central government, health and local authorities
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Exponential asymptotics for multi-dimensional systems in fluid mechanics
Trinh, P. (PI)
Engineering and Physical Sciences Research Council
1/04/21 → 31/05/25
Project: Research council
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Bridging Pure and Applied Approaches in Exponential Asymptotics
Trinh, P. (PI)
24/07/17 → 1/10/18
Project: Research council
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A new implicit formulation of theenthalpy method using flag updates
Peters, T., Shelton, J., Tang, H. & Trinh, P., 1 Oct 2025, In: International Journal of Heat and Mass Transfer. 249, 127166.Research output: Contribution to journal › Article › peer-review
Open Access -
A pinned elastic plate on a thin viscous film
Trinh, P., Wilson, S. & Stone, H. A., 20 Mar 2025, In: Journal of Fluid Mechanics. 1007, A79, A79.Research output: Contribution to journal › Article › peer-review
Open AccessFile8 Downloads (Pure) -
Computations of viscous fingering in a wedge: selection mechanisms and capillarity-driven ripples in the small surface-tension limit
Andersen, C., Vanden-Broeck, J.-M. & Trinh, P., 20 Apr 2025, (Acceptance date) In: Journal of Fluid Mechanics.Research output: Contribution to journal › Article › peer-review
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Exponential asymptotics and higher-order Stokes phenomena in singularly perturbed ODEs
Shelton, J., Crew, S. & Trinh, P., 30 Apr 2025, In: SIAM Journal on Applied Mathematics. 85, 2, p. 524 - 547Research output: Contribution to journal › Article › peer-review
Open AccessFile8 Downloads (Pure) -
Time-dependent nonlinear gravity-capillary surface waves with viscous dissipation and wind forcing
Shelton, J., Milewski, P. & Trinh, P. H., 14 Jan 2025, In: Journal of Fluid Mechanics. 1003, A13.Research output: Contribution to journal › Article › peer-review
Open Access