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Professor Scott McCue

Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics

Personal

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
Email
Location
View location details (QUT staff and student access only)
Social Media
Twitter
Qualifications

PhD (University of Queensland), Bachelor of Science (University of Queensland)

Professional memberships
and associations
  • Australian Mathematical Society (AustMS)
  • Australian and New Zealand Industrial and Applied Mathematics (ANZIAM)
  • Society of Industrial and Applied Mathematics (SIAM)
  • American Physical Society (APS)
Keywords

Asymptotic analysis, Continuum mechanics, Fluid mechanics, Free and moving boundary problems, Free surface flows, Granular materials, Mathematical biology, Nonlinear diffusion, Stefan problems

* Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008

Biography

Associate Professor 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 2000-2001, under the supervision of Professors David Riley and John King.  He was then a Postdoctoral Research Fellow at the University of Wollongong from 2002-2004 under the supervision of Professor James Hill, who is now at the University of Adelaide.  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, and Associate Professor in 2012.

Research discipline: Applied and Computational Mathematics

Areas of expertise

  • Fluid mechanics
  • Heat and mass transfer
  • Interfacial dynamics
  • Asymptotic analysis
  • Mathematical biology

Current Projects

Stefan problems (mathematics of melting, freezing and crystal formation)

  • Singularity formation for ill-posed Stefan problems
  • Melting crystals in microgravity
  • Effect of surface tension and kinetic undercooling on radially-symmetric melting.
  • Extinction analysis for inward solidification.
  • 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)

  • 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

Hele-Shaw flows (viscous flow between two closely held flat plates)

  • Bubble contraction in Hele-Shaw flows
  • Doubly connected Hele-Shaw flows
  • Pattern formation due to viscous fingering
  • Saffman-Taylor instability with kinetic undercooling
  • Related mathematical models for streamers with applications to sparks and lightning
  • Stokes flow in 2D with free boundaries

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

Mathematical biology

  • Wound healing
  • Multiscale-modelling of cell biology
  • Modelling cell invasion with nonlinear diffusion
  • Drug diffusion
  • Tumour-growth models
  • Melanoma
  • Biological tissue deformation

Other odds and ends

  • Mean curvature flows, curve-lengthening flows
  • Nonlinear diffusion
  • Groundwater flows
  • Fully developed granular flows: double-shearing and related theories
  • Soil mechanics
This information has been contributed by Professor Scott McCue.

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)
This information has been contributed by Professor Scott McCue.

Publications


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
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