• United Kingdom

Accepting PhD Students

PhD projects

I have many potential Ph D projects involving the mathematical modelling and analysis of a wide range of problems in fluid mechanics, including (but not limited to) thin-film flows, evaporating droplets, non-Newtonian fluid mechanics (including viscoplastic fluids and thixotropic fluids), and fluid-structure interaction problems. Please contact me for details of specific projects.


Research output per year

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Personal profile

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.

Education/Academic qualification

Doctor of Philosophy, University of Oxford


Master in Science, University of Oxford


Bachelor of Arts, University of Oxford


External positions

Joint Editor-in-Chief of the Journal of Engineering Mathematics

1 Jan 201131 Dec 2015

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Research Output

Competitive evaporation of multiple sessile droplets

Wray, A. W., Duffy, B. R. & Wilson, S. K., 10 Feb 2020, In : Journal of Fluid Mechanics. 884, 19 p., A45.

Research output: Contribution to journalArticle

Open Access
  • 2 Citations (Scopus)
    6 Downloads (Pure)

    Rivulet flow down a slippery substrate

    Alshaikhi, A. S., Wilson, S. K. & Duffy, B. R., 27 Jul 2020, In : Physics of Fluids. 11 p., 072011.

    Research output: Contribution to journalArticle

    Open Access
  • 4 Downloads (Pure)


    Experimental data for dynamic response of a thin sessile drop of conductive liquid to an applied voltage

    Mottram, N. (Creator), Corson, L. (Creator), Brown, C. (Creator), Tsakonas, C. (Creator), University of Strathclyde, 31 May 2016



    Micro- and nano-soft lithography for the fabrication of photonic devices

    Author: Richardson, E. J. W., 10 May 2017

    Supervisor: Dawson, M. (Supervisor) & Wilson, S. (Supervisor)

    Student thesis: Doctoral Thesis

    Non-Newtonian effects and Taylor-Aris despersion in rivulet flow

    Author: Al Mukahal, F. H. H., 5 Oct 2017

    Supervisor: Wilson, S. (Supervisor) & Duffy, B. (Supervisor)

    Student thesis: Doctoral Thesis


    Awarded IoP Printing and Graphics Science Group Prize 2009

    Stephen Wilson (Recipient), 2009

    Prize: Prize (including medals and awards)

  • Elected to Fellowship of the IMA

    Stephen Wilson (Recipient), 2008

    Prize: Election to learned society


    BIRS Workshop on Modelling of Thin Liquid Films - Asymptotic Approach vs. Gradient Dynamics

    Stephen Wilson (Speaker)
    28 Apr 20193 May 2019

    Activity: Talk or presentation typesInvited talk

    BIRS Workshop on Mathematical Criminology and Security

    Stephen Wilson (Speaker)
    17 Mar 201922 Mar 2019

    Activity: Talk or presentation typesInvited talk