Discovery Projects - Grant ID: DP0450140

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0450140

Funding Status
Closed

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Funded Activity Summary

Geometric variational problems and nonlinear partial differential systems. We will investigate several important problems on non-linear partial differential systems, bridging analysis, differential geometry and mathematical physics. Harmonic maps are the prototype of maps minimizing the Dirichlet energy. The liquid crystal configuration generalizes the harmonic map with values into two dimensional spheres. The Yang-Mills equations originated from particle physics. We will make fundamental contributions to these topics: Regularity problem and energy minimality of weakly harmonic maps, Weak solutions of the liquid crystal equilibrium system, Yang-Mills heat flow and singular Yang-Mills connections.

Funded Activity Details

Start Date: 01-01-2004

End Date: 29-02-2008

Funding Scheme: Discovery Projects

Funding Amount: $150,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Geometry | Calculus Of Variations And Control Theory | Pure Mathematics | Differential, Difference And Integral Equations |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Calculus Of Variations And Control Theory | Differential, Difference And Integral Equations | Geometry | Mathematical sciences | Pure Mathematics

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