Dr Michael Dallaston
Faculty of Science,
School of Mathematical Sciences
Personal details
Positions
- Senior Lecturer in Applied and Computational Mathematics
Faculty of Science,
School of Mathematical Sciences
Keywords
Theoretical fluid dynamics, Interfacial flows and instability, Flow in porous media, Mathematical Modelling, Numerical solution of PDEs
Research field
Applied Mathematics, Numerical and Computational Mathematics
Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008
Qualifications
- Doctor of Philosophy (Queensland University of Technology)
Teaching
MXB322 Partial Differential Equations: 2019-2022
MZB126 Engineering Computation: 2019-2021
MXN424 Advanced Applied Analysis: 2021
Publications
- Dallaston, M., Fontelos, M., Tseluiko, D. & Kalliadasis, S. (2018). Discrete Self-Similarity in Interfacial Hydrodynamics and the Formation of Iterated Structures. Physical Review Letters, 120(3), 1–5. https://eprints.qut.edu.au/134215
- Thompson, A., Gomes, S., Denner, F., Dallaston, M. & Kalliadasis, S. (2019). Robust low-dimensional modelling of falling liquid films subject to variable wall heating. Journal of Fluid Mechanics, 877, 844–881. https://eprints.qut.edu.au/134227
- Dallaston, M., (2019). Matched asymptotic analysis of self-similar blow-up profiles of the thin film equation. Quarterly Journal of Mechanics and Applied Mathematics, 72(2), 179–195. https://eprints.qut.edu.au/134213
- Zheng, Z., Fontelos, M., Shin, S., Dallaston, M., Tseluiko, D., Kalliadasis, S. & Stone, H. (2018). Healing capillary films. Journal of Fluid Mechanics, 838, 404–434. https://eprints.qut.edu.au/134214
- Dallaston, M. & McCue, S. (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, 472(2185), 1–15. https://eprints.qut.edu.au/93810
- Dallaston, M., Tseluiko, D. & Kalliadasis, S. (2016). Dynamics of a thin film flowing down a heated wall with finite thermal diffusivity. Physical Review Fluids, 1(7), 1–26. https://eprints.qut.edu.au/134218
- Dallaston, M., Hewitt, I. & Wells, A. (2015). Channelization of plumes beneath ice shelves. Journal of Fluid Mechanics, 785, 109–134. https://eprints.qut.edu.au/134220
- Dallaston, M. & McCue, S. (2014). Corner and finger formation in Hele-Shaw flow with kinetic undercooling regularisation. European Journal of Applied Mathematics, 25(6), 707–727. https://eprints.qut.edu.au/74236
- Dallaston, M. & McCue, S. (2013). Bubble extinction in Hele-Shaw flow with surface tension and kinetic undercooling regularization. Nonlinearity, 26(6), 1639–1665. https://eprints.qut.edu.au/59092
- Dallaston, M. & McCue, S. (2012). New exact solutions for Hele-Shaw flow in doubly connected regions. Physics of Fluids, 24(5), 1–13. https://eprints.qut.edu.au/49749
QUT ePrints
For more publications by Michael, explore their research in QUT ePrints (our digital repository).
Supervision
Current supervisions
- Self-similarity and Fractalisation in Interfacial Hydrodynamics
PhD, Principal Supervisor
Other supervisors: Professor Scott McCue - Mathematical Models of Homeostasis and Repair in the Mammalian Retina
PhD, Associate Supervisor
Other supervisors: Associate Professor Robyn Araujo, Professor Graeme Pettet, Adjunct Professor Petrus van Heijster