### 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

#### Peer Reviewed Journals

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.

(2015)
The nonlinear interaction of convection modes in a box of a saturated porous medium

* In Physica D.;*
pp. 48-58

Mould-taper asymptotics and air gap formation in continuous casting

Florio, B. J.; Vynnycky, M.; Mitchell, A. L. and O'Brien, S. B. G.

(2015)
Mould-taper asymptotics and air gap formation in continuous casting

* In Applied Mathematics And Computation;*
pp. 1122-1139

The interaction of convection modes in a box of a saturated porous medium

Florio, B. J.

(2014)
The interaction of convection modes in a box of a saturated porous medium

* In Journal Of Engineering Mathematics;*
pp. 71-88

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.

(2012)
The potential for convection and implications for geothermal energy in the Perth Basin, Western Australia

* In Hydrogeology Journal;*
pp. 1251-1268

Coherence resonance and stochastic resonance in directionally coupled rings

Werner, J. P.; Benner, H.; Florio, B. J. and Stemler, T.

(2011)
Coherence resonance and stochastic resonance in directionally coupled rings

* In Physica D.;*
pp. 1863-1872

#### Conference Publications

Proceedings of ECMI 2014

Vynnycky, M.; Mitchell, S. L.; Florio, B. J. and O'Brien, S. B. G.

(2014)
Proceedings of ECMI 2014

Proceedings of the 2010 Mathematics and Statistics in Industry Study Group, MISG-2010

McKibbin, R.; Fowkes, N.; Florio, B. and Horowitz, F. G.

(2011)
Proceedings of the 2010 Mathematics and Statistics in Industry Study Group, MISG-2010

Shephard, J. and Roberts, A. J.(Ed.)
pp. M1-M35

Proceedings of the 2011 Australian Geothermal Energy Conference

Sheldon, H. A.; Reid, L. B. and Florio, B. J.

(2011)
Proceedings of the 2011 Australian Geothermal Energy Conference

Budd, A. R.(Ed.)
pp. 233-238

Australian Geothermal Energy Conference, 2010

McKibbin, R.; Horowitz, F.; Fowkes, N. and Florio, B.

(2010)
Australian Geothermal Energy Conference, 2010