Fully nonlinear geometric flows

In many physical systems, an interface changes over time in a way dependent on its curvature. Examples include erosion processes like stones tumbling on the beach and the propagation of bushfire fronts. Often these evolutionary processes are highly nonlinear. This project addresses the research gap in the mathematical understanding of fully nonlinear evolution by curvature. Better mathematical understanding of these processes developed in this project could lead to improvements in applications such as bushfire modelling, of critical significance in Australia. Research outcomes could be promoted beyond academia to organisations that rely on these or related models, so they can make adjustments to their operations with potential economic, environmental and health benefits. Graduates and early career researchers from the research training element of this program could be directly placed into jobs with such organisations to realise this research translation. The Administering Ins