Dr Bronwyn Hajek

My research interests lie in developing and solving mathematical models using nonlinear partial differential equations. I have experience in their application to real-world problems in areas such as population modelling, ecology, fluid mechanics, industrial mathematics and obstetrics. I am also interested in mathematical modelling for biological invasions, virus evolution and epidemiology, including strategies for disease control.

Selected research projects (and collaborators) include:

Electrokinetics of concentrated dispersions of colloidal particles (Stan Miklavcic and Lee White, University of South Australia)

The extensional flow of viscous fluids (Yvonne Stokes and Ernie Tuck, University of Adelaide)

Microwave initiation of reaction-diffusion waves (Tim Marchant, University of Wollongong)

Reaction-diffusion equations for population genetics (Phil Broadbridge, La Trobe University, Maureen Edwards, Graham Williams, University of Wollongong)

Dispersion of wilding trees (Mark Nelson, University of Wollongong)

School of Mathematics and Statistics, UniSA

ANZIAM

AustMS

AustMS Annual Meeting 2009 @ UniSA

AustMS Early Career Researcher Workshop 2009

Australian and New Zealand Industrial and Applied Mathematics

Australian Mathematics Society

Golden Key International Honour Society

PhD University of Wollongong, 2004 (Applied Mathematics)

MEnvSc (Hons) University of Wollongong, 1999

BSc University of Adelaide, 1997 (Theoretical and Experimental Physics)

• The application of mathematics to real-world problems, especially in areas such as fluid mechanics, industrial problems, ecology and obstetrics.
• Analytical solution methods for nonlinear PDEs, especially Lie symmetry analysis.

B.H. Bradshaw-Hajek, S.J. Miklavcic, L.R. White, Dynamic dielectric response of concentrated colloidal dispersions: comparison between theory and experiment, Langmuir, 25(4):1961-1969, 2009.

B.H. Bradshaw-Hajek, S.J. Miklavcic, L.R. White, The frequency-dependant electrical conductivity of concentrated dispersions of spherical colloidal particles, Langmuir, 24(9):4512-4522, 2008.

B.H. Bradshaw-Hajek, P. Broadbridge, G. Williams, Evolving gene frequencies in a population with three possible alleles at a locus, Mathematical and Computer Modelling, 47:210-217, 2008.

B.H. Bradshaw-Hajek, M. Edwards, P. Broadbridge, G. Williams, Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence, Nonlinear Analysis: Theory, Methods and Applications, 67(9):2541-2552, 2007.

B.H. Bradshaw-Hajek, Y.M. Stokes, E.O. Tuck, Computation of extensional fall of slender viscous drops by a one-dimensional Eulerian method, SIAM Journal on Applied Mathematics, 67(4):1166-1182, 2007.

B.H. Bradshaw-Hajek, P. Broadbridge, A robust cubic Huxley reaction diffusion equation for gene propagation, Mathematical and Computer Modelling, 39:1151-1163, 2004.

P. Broadbridge, B. Bradshaw, G. Fulford and G.K. Aldis, Huxley and Fisher equations for gene propagation, Australian and New Zealand Industrial and Applied Mathematics Journal, 44:11-20, 2002.

B. Bradshaw, P. Broadbridge, Equations for gene propagation, in Symmetry and Differential Equations, Proceedings of International Conference on Symmetry Analysis and Applications, pp. 47-51, V.K. Andreevand Yu. V. Shan'ko (eds), Krasnoyarsk State University, Russia, 2000.