A number of projects are offered in the areas of Nonlinear Partial Differential Equations and Geometric Evolution Equations. These include topics in partial regularity theory for elliptic and parabolic systems, the evolution equations associated with liquid crystals, Yang-Mills flow and work on...
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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