Professor Scott McCue
Science and Engineering Faculty,Mathematical Sciences,
Applied and Computational Mathematics
Personal details
 Name
 Professor Scott McCue
 Position(s)
 Professor
Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics  Discipline *
 Applied Mathematics
 Phone
 +61 7 3138 4295
 Fax
 +61 7 3138 2310
 scott.mccue@qut.edu.au
 Location
 View location details (QUT staff and student access only)
 Identifiers and profiles
 Qualifications

PhD (University of Queensland), Bachelor of Science (University of Queensland)
 Professional memberships
and associations Editorial Board
 ANZIAM Journal (Cambridge University Press; 2008present)
 Journal of Engineering Mathematics (Springer; 2013present)
 European Journal of Applied Mathematics (Cambridge University Press; 2018present)
 PLOS ONE (Public Library of Science; 20152018)
Professional memberships
 Australian Mathematical Society (AustMS)
 Australian and New Zealand Industrial and Applied Mathematics (ANZIAM)
 American Physical Society (APS)
 Society of Industrial and Applied Mathematics (SIAM; former member)
 Keywords

Asymptotic analysis, Continuum mechanics, Fluid mechanics, Free and moving boundary problems, Free surface flows, Granular materials, Mathematical biology, Nonlinear diffusion, Stefan problems
Biography
Professor Scott McCue is Discipline Leader for Applied and Computational Mathematics in the School of Mathematical Sciences.
Background: Scott McCue was award a PhD in Applied Mathematics from the University of Queensland in May 2000. His PhD supervisor was Professor Lawrence Forbes, who is now at the University of Tasmania. Scott was a Postdoctoral Research Fellow at the University of Nottingham from 19992001, under the supervision of Professors David Riley and John King. He was then a Postdoctoral Research Fellow at the University of Wollongong from 20022004 under the supervision of Professor James Hill, who is now at the University of South Australia. In 2004 Scott took up a position as Lecturer in Applied Mathematics at Griffith University. He moved to QUT in 2007 as Lecturer in Mathematics, was promoted to Senior Lecturer in 2009, Associate Professor in 2012, and Professor in 2016.
Research discipline: Applied and Computational Mathematics
Areas of expertise
 Fluid mechanics
 Heat and mass transfer
 Interfacial dynamics
 Asymptotic analysis
 Mathematical biology
Topics of research (click for examples)
Stefan problems (mathematics of melting, freezing and crystal formation)
 Asymptotic analysis for melting/freezing a ball
 Singularity formation for illposed Stefan problems
 Melting crystals in microgravity
 Effect of surface tension and kinetic undercooling on radiallysymmetric melting
 Extinction analysis for inward solidification
 Numerical methods for pattern formation due to crystal growth from undercooled melt
 Related mathematical models for the penetration of solvent through glassy polymers and drug diffusion
Free surface flows (mathematics of water wave problems)
 Properties of ship wakes
 Exponential asymptotics for low Froude number flows
 Flow due to source or sink
 2D flows past surface piercing objects
 Stokes waves
 Computing ship wave patterns in 3D
 Timefrequency analysis of ship wakes
HeleShaw flows (viscous flow between two closely held flat plates)
 Bubble contraction in HeleShaw flows
 Doubly connected HeleShaw flows
 Pattern formation due to viscous fingering
 SaffmanTaylor instability with kinetic undercooling
 Selection problems for steadily propagating bubbles
Thin film flows (viscous flow with small aspect ratio)
 Fingering patterns due to flow of thin viscous film down a smooth surface
 Flow of a single drop: rivulets, corner singularities and pearling
 Spreading of thin films of leaf surfaces with industrial applications
 Extensional flow of viscous drop due to gravity
Droplet impaction
 Impaction of surfactantladen droplets on leaf surfaces
 Simulation of agrichemical spraying of plants
 Experimental validation
Mathematical biology
 Models for wound healing
 Multiscalemodelling of cell biology
 Modelling cell invasion with nonlinear diffusion
 Cell proliferation and migration assays
 Tumourgrowth models
 Collective cell motion of melanoma cells
 Biological tissue deformation
 Random walk models for cell motion
 Transport through crowded media
 Parameter estimation using experimental data
Other odds and ends
 Nonlocal geometric flows, mean curvature flows, curvelengthening flow
 Linear and nonlinear diffusion
Teaching
Teaching discipline: Mathematical Sciences
Scott’s teaching activities include teaching the following units:
 Symmetry, Chaos and Fractals (1st year)
 Ordinary Differential Equations (2nd year)
 Partial Differential Equations (3rd year)
 Applied Transport Theory (3rd year)
 Mathematics of Fluid Flow (4th year)
 Perturbation Methods (4th year)
Publications
 McCue SW, (2018) Short, flattipped, viscous fingers: novel interfacial patterns in a HeleShaw channel with an elastic boundary, Journal of Fluid Mechanics p14
 Buttle NR, Pethiyagoda R, Moroney TJ, McCue SW, (2018) Threedimensional freesurface flow over arbitrary bottom topography, Journal of Fluid Mechanics p166189
 Simpson MJ, Jin W, Vittadello ST, Tambyah TA, Ryan JM, Gunasingh G, Haass N, McCue SW, (2018) Stochastic models of cell invasion with fluorescent cell cycle indicators, Physica A: Statistical Mechanics and its Applications p375386
 Browning AP, McCue SW, Binny RN, Plank MJ, Shah ET, Simpson MJ, (2018) Inferring parameters for a latticefree model of cell migration and proliferation using experimental data, Journal of Theoretical Biology p251260
 Pethiyagoda R, Moroney TJ, McCue SW, (2018) Efficient computation of twodimensional steady freesurface flows, International Journal for Numerical Methods in Fluids p607624
 Pethiyagoda R, Moroney TJ, Macfarlane G, Binns J, McCue SW, (2018) Timefrequency analysis of ship wave patterns in shallow water: modelling and experiments, Ocean Engineering p123131
 Pethiyagoda R, McCue SW, Moroney TJ, (2017) Spectrograms of ship wakes: identifying linear and nonlinear wave signals, Journal of Fluid Mechanics p189209
 Massinon M, De Cock N, Forster WA, Nairn JJ, McCue SW, Zabkiewicz J, Lebeau F, (2017) Spray droplet impaction outcomes for different plant species and spray formulations, Crop Protection p6575
 Green CC, Lustri C, McCue SW, (2017) The effect of surface tension on steadily translating bubbles in an unbounded HeleShaw cell, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences p120
 Dallaston M, McCue SW, (2016) A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences p115
For more publications by this staff member, visit QUT ePrints, the University's research repository.
Research projects
Grants and projects (Category 1: Australian Competitive Grants only)
 Title
 Mathematical and Computational Analysis of Ship Wakes
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP180103260
 Start year
 2018
 Keywords
 Title
 Mathematical and computational models for agrichemical retention on plants
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 LP160100707
 Start year
 2017
 Keywords
 Fluid mechanics; Droplet impaction; Evaporation; Leaf surface models; Mathematical software
 Title
 Asymptotics of the exponentially small
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP140100933
 Start year
 2014
 Keywords
 Asymptotic methods; Fluid mechanics; Applied differential equations
 Title
 A new hierarchy of mathematical models to quantify the role of ghrelin during cell invasion
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP140100249
 Start year
 2014
 Keywords
 Mathematical modelling; Mathematical biology; Multiscale modelling
 Title
 Modelling Interactions of Spray Droplets with Plants
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 LP100200476
 Start year
 2011
 Keywords
 Mathematical Modelling; Leaf Surface Models; Plant Architectural Models; Spray Droplet Interception; Droplet Spreading; Agrichemical Spray Retention
 Title
 A Mathematical Model of the Roles of Contraction and Oxygen in Human Wound Healing
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP0878011
 Start year
 2008
 Keywords
 Biomathematics; Mathematical Modelling; Wound Healing
Supervision
Completed supervisions (Doctorate)
 Investigating the Reproducibility of In Vitro Cell Biology Assays Using Mathematical Models (2017)
 Modelling transport through biological environments that contain obstacles (2017)
 Mathematical and Computational Analysis of Kelvin Ship Wave Patterns (2016)
 Mathematical Modelling of the Impaction and Spreading of Spray Droplets on Leaves (2015)
 Stefan Problems for Melting Nanoscaled Particles (2015)
 Mathematical Models of Bubble Evolution in a HeleShaw Cell (2013)
 Mathematical modelling of controlled drug release from polymer microspheres: incorporating the effects of swelling, diffusion and dissolution via moving boundary problems (2013)