معرفی
Associate Professor Bronwyn Hajek is an applied mathematician at the University of South Australia (UniSA), affiliated with the UniSA STEM faculty and the School of Information Technology and Mathematical Sciences. Her research focuses on nonlinear partial differential equations (PDEs) using Lie symmetry techniques, with applications in biological invasions, cell biology, viscous flow, and physical chemistry. She has contributed to solving models like the Arrhenius reaction-diffusion equation and calcium fertilisation waves on egg surfaces. Hajek collaborates widely, including projects with the Sydney Mathematical Research Institute (SMRI) and researchers at the University of Sydney. Her work bridges mathematical theory with real-world phenomena such as tumour growth and fluid dynamics.
Her key research interests include reaction-diffusion models, shock wave analysis, and geometric singular perturbation theory. Notable projects include the analysis of shock selection rules in reaction-nonlinear diffusion models and the development of analytic solutions for biological systems. Hajek is also an active educator in mathematics and a research degree supervisor.
Recent studies involve collaborations on bubble dynamics in high-purity water and conditionally integrable PDEs. Her work is supported by grants such as the Australian Research Council (ARC DP200102130). She has published extensively in journals like SIAM Journal on Applied Dynamical Systems and Mathematical Medicine and Biology.
