Research focuses on the fundamental analysis of nonlinear partial differential equations (PDEs) and their applications in various areas including geometry, physics, biology, engineering and economics. Current areas of interest include the calculus of variations, inverse problems, optimal transportation, convex geometry, geometric analysis, complex and stochastic PDEs
Research projects
- Monge-Ampere type equations and their applications in mass transport problems
- Nonlinear stochastic PDEs and their applications
- Degenerate fully nonlinear equations
- Nonlinear PDEs in several complex variables
- HJB equation and nonlinear optimisation
Members
- Dr Jiakun Liu (Director)
- Dr Tran Vu Khanh
- Associate Professor Adam Rennie
- Dr Glen Wheeler
- Dr Valentina Wheeler
Associate members
- Dr Kai Du (Fudan University)
- Dr David Hartley (UOW)
- Associate Professor James McCoy (University of Newcastle)
- Professor Neil Trudinger (UOW)
- Professor Graham Williams (UOW)