Discovery Projects - Grant ID: DP170101060

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP170101060

Funding Status
Closed

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Funded Activity Summary

Harmonic analysis and dispersive partial differential equations. This project aims to develop theoretical results and practical techniques in the study of Partial Differential Equations. Harmonic analysis is used to study these equations; in which a system’s local behaviour is used to analyse global properties, using techniques such as the Fourier transform. The project will investigate central problems in the area, revealing deep connections between analysis and geometry, and apply these to study the solutions’ long-term behaviour to non-linear equations. Expected outcomes include theoretical results and practical techniques to solve non-linear dispersive equations, which arise in quantum and fluid mechanics.

Funded Activity Details

Start Date: 01-01-2017

End Date: 01-11-2020

Funding Scheme: Discovery Projects

Funding Amount: $350,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics | Partial Differential Equations

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Lie Groups, Harmonic and Fourier Analysis | Partial Differential Equations | Pure Mathematics

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