Biography
I am postdoctoral researcher in Applied mathematics. I completed my PhD in 2013 at the University of Western Australia, Perth. My main interests lie in nonlinear dynamics and industrial modelling. My current interests include:
- Mathematical modelling of continuous casting. We use asymptotic methods to show the effect of an air gap on the solidification process.
- Modelling of melting nanowires. Particles at the nanoscale have a depressed melting point, which can seriously restrict their application. We use mathematical modelling to describe the melting behaviour of nanowires
- The interaction of convection modes in porous media. For a square domain multiple modal solutions may be preferred. These modes interact in a nonlinear fashion and may form interesting patterns.
In 2015 I was awarded a Charlemont Scholarship by the Royal Irish Academy, which allowed me to travel to Barcelona to collaborate with colleagues on the nanowire project.
I am a part of the Athena Swan commitee for the department of Mathematics and Statistics. Our department was recognised with the Athena Swan Bronze award in 2015.
Research Interests
My current interests include:
- Mathematical modelling of continuous casting. We use asymptotic methods to show the effect of an air gap on the solidification process.
- Modelling of melting nanowires. Particles at the nanoscale have a depressed melting point, which can seriously restrict their application. We use mathematical modelling to describe the melting behaviour of nanowires
- The interaction of convection modes in porous media. For a square domain multiple modal solutions may be preferred. These modes interact in a nonlinear fashion and may form interesting patterns.
Publications
Conference Publication
Proceedings of ECMI 2014
Vynnycky, M. V.; Mitchell, S. L.; Florio, B. J. and O'Brien, S. B. G.
Proceedings of the 2011 Australian Geothermal Energy Conference
Sheldon, H. A.; Reid, L. B. and Florio, B. J.
Proceedings of the 2010 Mathematics and Statistics in Industry Study Group, MISG-2010
McKibbin, R.; Fowkes, N.; Florio, B. and Horowitz, F. G.
Australian Geothermal Energy Conference, 2010
McKibbin, R.; Horowitz, F.; Fowkes, N. and Florio, B.
Peer Reviewed Journal
The nonlinear interaction of convection modes in a box of a saturated porous medium
Florio, B. J.; Bassom, A. P.; Fowkes, N.; Judd, K. and Stemler, T.
Physica D.
Mould-taper asymptotics and air gap formation in continuous casting
Florio, B. J.; Vynnycky, M.; Mitchell, A. L. and O'Brien, S. B. G.
Applied Mathematics And Computation
The interaction of convection modes in a box of a saturated porous medium
Florio, B. J.
Journal Of Engineering Mathematics
The potential for convection and implications for geothermal energy in the Perth Basin, Western Australia
Sheldon, H. A.; Florio, B. J.; Trefry, M. G.; Reid, L. B.; Ricard, L. P. and Ghori, K. A. R.
Hydrogeology Journal
Coherence resonance and stochastic resonance in directionally coupled rings
Werner, J. P.; Benner, H.; Florio, B. J. and Stemler, T.
Physica D.