Research Interests
Applied Mathematics Biological Mathematics Biomedical Engineering Biotechnology Computation Theory & Mathematics Computational Fluid Dynamics Difference Equations and Dynamical Systems Dynamical Systems in Applications Fluid Physics Fluidisation and Fluid Mechanics Mathematical Sciences Numerical and Computational Mathematics Numerical Solution of Differential and Integral Equations Simulation and Modelling Theoretical and Applied MechanicsProf Yvonne Stokes
Professor
School of Mathematical Sciences
College of Science
Eligible to supervise Masters and PhD - email supervisor to discuss availability.
I completed a BSc (Mathematics and Computer Science) at Murdoch University and Honours in Applied Mathematics at The University of Adelaide, while working as a technical draftsperson. I then did a PhD at The University of Adelaide, with a thesis on very viscous fluid flows. I held an ARC Postdoctoral Fellowship (2000-2002) and then obtained a Lecturer position at The University of Adelaide where I have been a Professor in the School of Mathematical Sciences since January 2018. From February 2017 to May 2021 I was an ARC Future Fellow.I enjoy using mathematics to solve real-world problems in fluid mechanics, industry and in biology, and believe it is important to impart the skills needed for this to the next generations. I seek to encourage female students to consider STEM careers and to promote the value of mathematics in the wider community. For the years 2017 to 2019 I was the Chair of the Women in Mathematics Special Interest Group of the Australian Mathematical Society. I am currently an ANZIAM representative on the board of the International Council for Industrial and Applied Mathematics.
I undertake research in the field of theoretical fluid mechanics, in particular viscous flows involving free and moving boundaries. Current projects include the modelling of optical fibre fabrication, and thin-film flow in curved channels and ducts. In addition I have research interests in mathematical biology, modelling nutrient transport and chemical signalling in tissue.
| Date | Position | Institution name |
|---|---|---|
| 2018 - ongoing | Professor | The University of Adelaide |
| 2017 - 2021 | ARC Future Fellow | The University of Adelaide |
| 2014 - 2017 | Associate Professor | The University of Adelaide |
| 2005 - 2014 | Senior Lecturer | The University of Adelaide |
| 2002 - 2005 | Lecturer | The University of Adelaide |
| 2000 - 2002 | ARC Postdoctoral Fellow | The University of Adelaide |
| Language | Competency |
|---|---|
| English | Can read, write, speak, understand spoken and peer review |
| Date | Institution name | Country | Title |
|---|---|---|---|
| 1999 | The University of Adelaide | Australia | PhD |
| 1994 | The University of Adelaide | Australia | BSc Hons |
| 1991 | Murdoch University | Australia | BSc |
| Year | Citation |
|---|---|
| 2024 | Valani, R. N., Harding, B., & Stokes, Y. M. (2024). Inertial particle focusing in fluid flow through spiral ducts: dynamics, tipping phenomena and particle separation. |
| 2024 | Valani, R. N., Harding, B., & Stokes, Y. M. (2024). Active particle motion in Poiseuille flow through rectangular channels. |
| 2024 | Yuwono, E. B., Stokes, Y. M., Tronnolone, H., & Wylie, J. J. (2024). Coupled heat and fluid transport in pulled extrusion of cylinders. |
| 2023 | Harding, B., Stokes, Y. M., & Valani, R. N. (2023). Inertial focusing dynamics of spherical particles in curved microfluidic ducts with a trapezoidal cross-section. |
| 2021 | Valani, R. N., Harding, B., & Stokes, Y. M. (2021). Bifurcations in inertial focusing of a particle suspended in flow through curved rectangular ducts. |
- ARC Discovery Project 2024-2026, Mathematics to underpin and drive novel inertial microfluidic technologies. With R. Valani, T.B. Harding and D. Crowdy.
- ARC Discovery Project 2020-2022, Prediction of inertial particle focusing in curved microfluidic ducts. With T.B. Harding and A. Bertozzi.
- ARC Linkage Project 2020-2021, Smart design technology enabling the mid-infrared revolution. With H. Ebendorff-Heidepriem, S. Warren-Smith and F. Chenard. Industry Partner, IRflex Corporation.
- ARC Future Fellowship, 2016-2020, Mathematics the key to modern glass and polymer fibre technology.
- ARC Linkage Project 2016-2018, Enhanced sensitivity of electrospray ionisation mass spectrometry. With H. Ebendorff-Heidepriem, P. Hoffmann and A. Gooley. Industry Partner, Trajan Scientific and Medical.
- ARC Discovery Project 2016-2018, Suspension flows and particle focusing in curved geometries. With A.L. Bertozzi.
- University of Adelaide ECMS Research Support Scheme 2015, Quantification and modelling of spatial structures in colorectal (bowel) cancer. With J.E.F Green, B. Binder, H. Zhang, D. Worthley.
- ARC Discovery Project 2013-2015, Shining the light on geometry of microstructured optical fibres. With D.G. Crowdy and H. Ebendorff-Heidepriem.
- ARC Linkage Project 2011-2013, Paving the way: an experimental approach to the mathematical modelling and design of permeable pavements With S.C. Beecham, L.R. White, J.W. Boland, P.G. Howlett and J.M. Wells.
- University of Adelaide ECMS Category 1 Grant Improvement Scheme Funding 2008, Viscous flow for manufacture of optical fibres.
- ARC Discovery Project 2004-2006, Viscous extensional flow and drop breakoff. With E.O. Tuck.
- University of Adelaide ECMS Small Grant 2003, 3D geomechanical modelling of salt diapirism. With S. Hunt.
- University of Adelaide Small Grant 2002, Computational modelling of destratification of shallow lakes.
- ARC Small Grant 2000, High order B-splines for numerical differentiation of noisy data.
- ARC Postdoctoral Fellowship 2000-2002, Fluid flow in open helical channels with application to spiral particle separators.
| Date | Role | Research Topic | Program | Degree Type | Student Load | Student Name |
|---|---|---|---|---|---|---|
| 2025 | Co-Supervisor | Mathematical modelling of plaque calcification in atherosclerosis | Master of Philosophy | Master | Full Time | Miss Faith Caren Thando Penn Sawers |
| 2025 | Principal Supervisor | Effect of instability on fibre geometry in optical fibre drawing | Master of Philosophy | Master | Full Time | Miss Caitriona Lightbody |
| 2025 | Principal Supervisor | Effect of instability on fibre geometry in optical fibre drawing | Master of Philosophy | Master | Full Time | Miss Caitriona Lightbody |
| 2025 | Co-Supervisor | Mathematical modelling of plaque calcification in atherosclerosis | Master of Philosophy | Master | Full Time | Miss Faith Caren Thando Penn Sawers |
| Date | Role | Research Topic | Program | Degree Type | Student Load | Student Name |
|---|---|---|---|---|---|---|
| 2021 - 2024 | Principal Supervisor | Mathematical Modelling of Fibre Fabrication; Coupling Heat Transport with Fluid Flow in Extrusion | Master of Philosophy | Master | Full Time | Miss Eunice Blessica Yuwono |
| 2018 - 2022 | Principal Supervisor | Mathematical modelling of unsteady tube stretching with internal channel pressurisation for fabricating electrospray ionisation emitters | Doctor of Philosophy | Doctorate | Full Time | Mrs Gagani Pathumika Ranathunga |
| 2015 - 2018 | Co-Supervisor | Large-eddy Simulations of a Jet in Crossflow Using Julia | Master of Philosophy | Master | Full Time | Miss Amelia Jane Thomas |
| 2013 - 2016 | Principal Supervisor | Thin-Film Flow in Helical Channels | Doctor of Philosophy | Doctorate | Full Time | Mr David John Arnold |
| 2013 - 2020 | Principal Supervisor | Mathematical Modelling of The Complex Mechanics of Biological Gels | Doctor of Philosophy | Doctorate | Part Time | Mr James Richard Reoch |
| 2011 - 2016 | Co-Supervisor | Pressure and Flow within the Umbilical Vessels | Doctor of Philosophy | Doctorate | Full Time | Mr David John Wilke |
| 2011 - 2016 | Principal Supervisor | Extensional and Surface-Tension-Driven Fluid Flows in Microstructured Optical Fibre Fabrication | Doctor of Philosophy | Doctorate | Full Time | Dr Hayden Tronnolone |
| 2010 - 2013 | Co-Supervisor | Flow Visualization and Simulation of Miscible Displacement with Gravity Domination. | Doctor of Philosophy | Doctorate | Full Time | Mr Zeeshan Mohiuddin |
| 2005 - 2009 | Principal Supervisor | Mathematical Modelling and Experimental Investigation of Nutrient Supply to the Mammalian Oocyte | Doctor of Philosophy | Doctorate | Full Time | Miss Alys Clark |
| Date | Role | Committee | Institution | Country |
|---|---|---|---|---|
| 2023 - ongoing | Representative | International Council for Industrial and Applied Mathematics | ICIAM | United States |
| 2020 - ongoing | Board Member | International Council for Industrial and Applied Mathematics | ANZIAM | Australia |
| 2019 - 2020 | Co-Chair | Women in Mathematics Special Interest Group | The Australian Mathematical Society | Australia |
| 2017 - ongoing | Chair | Women in Mathematics Special Interest Group | The Australian Mathematical Society | Australia |
| Date | Role | Membership | Country |
|---|---|---|---|
| 2010 - ongoing | - | Society of Mathematical Biology | United States |
| 2002 - ongoing | - | American Physical Society | United States |
| 1994 - ongoing | - | Australian Mathematical Society | Australia |
| 1994 - ongoing | - | Australian and New Zealand Division of Industrial and Applied Mathematics | Australia |
| Date | Role | Editorial Board Name | Institution | Country |
|---|---|---|---|---|
| 2019 - ongoing | Associate Editor | ANZIAM Journal | ANZIAM | Australia |