Geometric evolution problems in nonlinear partial differential equations (2015–2017)

Abstract:
This project addresses important problems key to the understanding of geometric evolution equations and certain other nonlinear partial differential equations. The problems to be tackled lie in a very active area of mathematics: harmonic maps, liquid crystals and Yang-Mills theory. Special aims are to exploit new methods, introduced by the CI and his collaborators, to settle open problems in harmonic maps and Yang-Mills equations, and to improve understanding of practical questions such as the mathematical modelling of liquid crystals via the celebrated Ericksen-Leslie and Landau-de Gennes theories. The expected outcomes are fundamental results in mathematics, with applications in other sciences.
Grant type:
ARC Discovery Projects
Researchers:
Funded by:
Australian Research Council