Professor Stephen Wilson

Mathematics and Statistics

Personal statement

I have made contributions to the mathematical modelling and analysis of a wide range of problems in fluid mechanics, including thin-film flows, evaporating droplets, rivulets and dry-patches, dielectrophoresis, microfluidics, liquid crystals, non-Newtonian fluids (including viscoplastic fluids, thixotropic fluids and nanofluids), anti-surfactants and self-rewetting fluids, fluid-structure interaction problems, biomechanics, nucleate boiling, confined bubbles, thermocapillary (Marangoni) and thermoviscosity effects, spin coating, magnetohydrodynamics, and fluid impact problems.

The common theme running through all of my work is the use of a range of mathematical (namely asymptotic, analytical and numerical) methods to bring new insights into a wide range of "real world" problems ranging from boiling and evaporation through industrial coating processes to biological systems such as the human knee.


Contact-line deposits from multiple evaporating droplets
Wray Alexander W, Wray Patrick S, Duffy Brian R, Wilson Stephen K
Physical Review Fluids Vol 6 (2021)
Patterns formed in a thin film equation with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure
Alshaikhi A S, Grinfeld M, Wilson S K
European Journal of Applied Mathematics (2021)
Mathematical models for the evaporation of sessile droplets
Wilson Stephen K, Duffy Brian R
Drying of Complex Fluid Drops (2021) (2021)
The lifetimes of evaporating sessile droplets of water can be strongly influenced by thermal effects
Schofield Feargus G H, Pritchard David, Wilson Stephen K, Sefiane Khellil
Fluids Vol 6 (2021)
The ventilation of buildings and other mitigating measures for COVID-19 : a focus on wintertime
Burridge Henry C, Bhagat Rajesh K, Stettler Marc E J, Kumar Prashant, De Mel Ishanki, Demis Panagiotis, Hart Allen, Johnson-Llambias Yyanis, King Marco-Felipe, Klymenko Oleksiy, McMillan Alison, Morawiecki Piotr, Pennington Thomas, Short Michael, Sykes David, Trinh Philippe H, Wilson Stephen K, Wong Clint, Wragg Hayley, Davies Wykes Megan S, Iddon Chris, Woods Andew W, Mingotti Nicola, Bhamidipati Neeraja, Woodward Huw, Beggs Clive, Davies Hywel, Fitzgerald Shaun, Pain Christopher, Linden PF
Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences Vol 477 (2021)
On the effect of substrate viscoelasticity on the evaporation kinetics and deposition patterns of nanosuspension drops
Chen Yuhong, Askounis Alexandros, Koutsos Vasileios, Valluri Prashant, Takata Yasuyuki, Wilson Stephen K, Sefiane Khellil
Langmuir Vol 36, pp. 204-213 (2020)

More publications

Professional activities

BIRS Workshop on Modelling of Thin Liquid Films - Asymptotic Approach vs. Gradient Dynamics
BIRS Workshop on Mathematical Criminology and Security
Lorentz Center Workshop on Micro- and Nano-Fluidics: Fundamentals and Applications
12th European Fluid Mechanics Conference (EFMC12)
3rd UK Fluids Conference 2018
European Commission - FP7 - European Research Council (External organisation)

More professional activities


Doctoral Training Partnership 2018-19 University of Strathclyde | Mills, Laura
Wilson, Stephen (Principal Investigator) Wray, Alexander (Co-investigator) Mills, Laura (Research Co-investigator)
01-Jan-2020 - 01-Jan-2024
Control of free-surface flow morphologies in anisotropic liquids
Wilson, Stephen (Principal Investigator)
02-Jan-2020 - 01-Jan-2023
Low-order models for thick fluid flows with multiphysics effects
Wray, Alexander (Principal Investigator) Wilson, Stephen (Co-investigator)
01-Jan-2019 - 30-Jan-2022
University of Strathclyde NPIF 2018 (NPIF EPSRC Doctoral) | Mitchell, Andrew James
Wilson, Stephen (Principal Investigator) Duffy, Brian (Co-investigator) Mitchell, Andrew James (Research Co-investigator)
01-Jan-2018 - 01-Jan-2022
REMS | D'Ambrosio, Hannah-May
Wilson, Stephen (Principal Investigator) Duffy, Brian (Co-investigator) D'Ambrosio, Hannah-May (Research Co-investigator)
01-Jan-2017 - 01-Jan-2021
Theoretical Analysis of Droplet Evaporation
Wilson, Stephen (Principal Investigator)
01-Jan-2017 - 30-Jan-2021

More projects


Mathematics and Statistics
Livingstone Tower

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