Discovery Projects - Grant ID: DP220101816

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220101816

Funding Status
Active

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Funded Activity Summary

Singular solutions for nonlinear elliptic and parabolic equations. The analysis of many models fundamental to physical and biological sciences is obstructed by singularities. This project aims to discover and classify the singular solutions for two important types of nonlinear equations: elliptic and parabolic. The project expects to generate novel methods to decipher singularities by using innovative approaches from geometric analysis and dynamical systems. Expected outcomes of this project include new and powerful tools to advance a more general theory of singularities. This should provide significant benefits, such as new mathematical knowledge on key issues on singularities lying at the forefront of international research and enhanced expertise in an area of worldwide recognition for Australia.

Funded Activity Details

Start Date: 12-04-2022

End Date: 11-04-2025

Funding Scheme: Discovery Projects

Funding Amount: $427,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Operator Algebras and Functional Analysis | Pure Mathematics | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Partial Differential Equations

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Expanding Knowledge in the Physical Sciences | Operator Algebras and Functional Analysis | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Partial Differential Equations | Pure Mathematics

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