Partial differential equations for propagation and aggregation . This fellowship develops partial differential equation (PDE) theory to fill in a gap in the mathematical modelling of propagation and a

Description

Partial differential equations for propagation and aggregation . This fellowship develops partial differential equation (PDE) theory to fill in a gap in the mathematical modelling of propagation and aggregation occurring in ecological invasion, disease spreading, krill swarming and elsewhere. The existing models use PDEs over fixed spatial domains, where mature mathematical theories are available, but they fail to meet crucial demands in applications. To overcome this difficulty, we establish theories for PDEs over domains that are not fixed, but change with time, and build new models that keenly reflect the real world demands. Apart from the new mathematics and numerical tools, the project also produces a team of Australian researchers with critical skills in an area of keen international interests. . Scheme: Australian Laureate Fellowships. Field: 4904 - Pure Mathematics. Lead: Prof Yihong Du