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.

Prizes and awards

Leader of the winning team at Physics with Industry 2016: Recipient; 25/11/2016
Awarded IoP Printing and Graphics Science Group Prize 2009: Recipient; 2009
Elected to Fellowship of the IMA: Recipient; 2008

More prizes and awards

Publications

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); https://doi.org/10.1103/PhysRevE.107.034702
Evaporation of sessile droplets: Wilson Stephen K, D'Ambrosio Hannah-May; Annual Review of Fluid Mechanics Vol 55, pp. 481-509 (2023); https://doi.org/10.1146/annurev-fluid-031822-013213
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); https://doi.org/10.1017/S0956792521000267
Mathematical models for the evaporation of sessile droplets: Wilson Stephen K, Duffy Brian R; Drying of Complex Fluid Drops Fundamentals and Applications (2022) (2022); https://doi.org/10.1039/9781839161186-00047
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); https://doi.org/10.1063/5.0084472
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); https://doi.org/10.1098/rspa.2021.0849

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Professional activities

BIRS Workshop on Modelling of Thin Liquid Films - Asymptotic Approach vs. Gradient Dynamics: Speaker; 28/4/2019
BIRS Workshop on Mathematical Criminology and Security: Speaker; 17/3/2019
Lorentz Center Workshop on Micro- and Nano-Fluidics: Fundamentals and Applications: Speaker; 12/11/2018
12th European Fluid Mechanics Conference (EFMC12): Speaker; 9/9/2018
3rd UK Fluids Conference 2018: Speaker; 4/9/2018
European Commission - FP7 - European Research Council (External organisation): Advisor; 9/2018

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Projects

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

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Address

Mathematics and Statistics
Livingstone Tower

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