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.


Rivulet flow over and through a permeable membrane
Alshaikhi Abdulwahed S, Wilson Stephen K, Duffy Brian R
Physical Review Fluids Vol 6 (2021)
Evaporation of a thin droplet in a shallow well: theory and experiment
D'Ambrosio Hannah-May, Colosimo Teresa, Duffy Brian R, Wilson Stephen K, Yang Lisong, Bain Colin D, Walker Daniel E
Journal of Fluid Mechanics Vol 927 (2021)
Coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation
Mitchell Andrew J, Duffy Brian R, Wilson Stephen K
Journal of Fluid Mechanics (2021)
Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure
Alshaikhi Abdulwahed S, Grinfeld Michael, Wilson Stephen K
European Journal of Applied Mathematics (2021)
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)
The strong influence of thermal effects on the lifetime of an evaporating droplet
Schofield Feargus G H, Wilson Stephen K, Pritchard David, Sefiane Khellil
Advances in Heat Transfer and Thermal Engineering Proceedings of 16th UK Heat Transfer Conference (UKHTC2019) (2021) (2021)

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
Theoretical Analysis of Droplet Evaporation
Wilson, Stephen (Principal Investigator)
01-Jan-2017 - 30-Jan-2021
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

More projects


Mathematics and Statistics
Livingstone Tower

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