Student projects are available in the areas of dynamical systems and ergodic theory. Possible topics include the analytical and computational study of metastable and coherent structures. Such structures encode important properties of the long term behaviour of the underlying system. They have...
Geometric and Nonlinear Analysis
Our research is concentrated on:
- Nonlinear partial differential equations, in particular systems;
- Dynamical systems;
- Calculus of Variations;
- Geometric evolution equations (in particular the harmonic map heat flow, Yang-Mills flow, and curvature flows);
We consider a range of problems from very pure to vey applied, rom heoretical to computational. We have active collaborations with a number of groups inside Australia and around the world. Our members hold 4 current ARC Discovery Grants.
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