Non-local PDE approach to moving fronts and bushfires. Advancing our knowledge of bushfire propagation is of paramount importance for Australia, from an economic, environmental, biological, and social

Description

Non-local PDE approach to moving fronts and bushfires. Advancing our knowledge of bushfire propagation is of paramount importance for Australia, from an economic, environmental, biological, and social point of view. The main aim of this project is introducing a new mathematical model to describe moving fronts in bushfires, that relies on a deep understanding of far-away interactions responsible for fronts propagation, in light of geometric flows and partial differential equations. From the theoretical standpoint, this novel approach will produce significant progress in terms of mathematical knowledge, since, along the way, new and innovative mathematical ideas will be introduced and challening questions will be addressed, providing a great potential impact on the mathematical community. . Scheme: Discovery Projects. Field: 4904 - Pure Mathematics. Lead: Prof Serena Dipierro