ARC Future Fellowships - Grant ID: FT230100588

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT230100588

Funding Status
Active

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Funded Activity Summary

Partial differential equation: Schrodinger operator and long-time dynamics. This project aims to develop new analysis methods associated to the Schrodinger operator, and to solve several challenging problems regarding dispersive partial differential equations (PDE). Long-time dynamics of PDE solutions are a key goal in both pure and applied mathematics, and have been extensively studied by leading mathematicians and mathematical physicists. However, it is unknown how to investigate large solutions when the order of the PDE's nonlinearity is low. This project expects to develop new methods to attack such problems. The results of the project will be of great importance in mathematics and physics, as many fundamental physical models in areas such as optics, fluid mechanics and quantum mechanics fit the paradigm.

Funded Activity Details

Start Date: 30-06-2024

End Date: 29-06-2028

Funding Scheme: ARC Future Fellowships

Funding Amount: $1,054,902.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie groups harmonic and Fourier analysis | Partial differential equations | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Expanding Knowledge In the Mathematical Sciences | Lie groups harmonic and Fourier analysis | Partial differential equations | Pure mathematics

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