Discovery Projects - Grant ID: DP190102948

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP190102948

Funding Status
Active

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Funded Activity Summary

Nonlinear partial differential equations with anisotropy and singularities. This project aims to develop new methods in the study of several classes of nonlinear partial differential equations featuring singularities and nonstandard growth conditions. The understanding of countless phenomena in physical and biological sciences is impaired by singularities arising naturally in the models of nonlinear partial differential equations. In a systematic study of singularities on important problems, this project aims to advance new analytical methods and settle fundamental questions that remain open. Outcomes include a more inclusive singularity theory, which fully describes all the singularities that can occur. More immediate applications are in core areas of mathematics, which bear significance to quantum mechanics and image processing in particular.

Funded Activity Details

Start Date: 01-01-2019

End Date: 31-12-2023

Funding Scheme: Discovery Projects

Funding Amount: $419,000.00

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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