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.


Weak-anchoring effects in a thin pinned ridge of nematic liquid crystal
Cousins Joseph R L, Bhadwal Akhshay S, Corson Lindsey T, Duffy Brian R, Sage Ian C, Brown Carl V, Mottram Nigel J, Wilson Stephen K
Physical Review E Vol 107 (2023)
Evaporation of sessile droplets
Wilson Stephen K, D'Ambrosio Hannah-May
Annual Review of Fluid Mechanics Vol 55, pp. 481-509 (2023)
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 Vol 33, pp. 894-918 (2022)
Mathematical models for the evaporation of sessile droplets
Wilson Stephen K, Duffy Brian R
Drying of Complex Fluid Drops Fundamentals and Applications (2022) (2022)
Unsteady coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation
Mitchell Andrew J, Duffy Brian R, Wilson Stephen K
Physics of Fluids Vol 34 (2022)
Young and Young-Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states
Cousins Joseph R L, Duffy Brian R, Wilson Stephen K, Mottram Nigel J
Proceedings A: Mathematical, Physical and Engineering Sciences Vol 478 (2022)

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


Maths DTP 2021/22 University of Strathclyde | Craig, David
Wilson, Stephen (Principal Investigator) Wray, Alexander (Co-investigator) Craig, David (Research Co-investigator)
01-Jan-2021 - 01-Jan-2024
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-2022
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 EPSRC Centre for Doctoral Training in Renewable Energy Marine Structures | D'Ambrosio, Hannah-May
Wilson, Stephen (Principal Investigator) Duffy, Brian (Co-investigator) D'Ambrosio, Hannah-May (Research Co-investigator)
01-Jan-2017 - 19-Jan-2022

More projects


Mathematics and Statistics
Livingstone Tower

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