The University of Queensland

Geometric evolution problems in nonlinear partial differential equations (2015–2019)

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:

• 

  Associate Professor Min-Chun Hong

  Associate Professor
  

  School of Mathematics and Physics

  Faculty of Science

Funded by:

Australian Research Council