Discovery Early Career Researcher Award - Grant ID: DE230101165

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE230101165

Funding Status
Active

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Funded Activity Summary

Geometric Scattering Theory, Resolvent Estimates, and Wave Asymptotics. This project aims to understand how fast the local energy of a wave decays when it propagates in a rough, open system. This projects will generate new knowledge in the mathematical subfields of microlocal analysis and partial differential equations by refining tools such as Carleman estimates, separation of variables, b-vector field analysis, and quasimode constructions. The expected outcome of this project is a novel and comprehensive mathematical treatment of wave propagation in systems with weaker than Lipschitz regularity. This research should provide significant benefits such as informing predictions about waves in rough systems, including the propagation of seismic waves, and lead to advances in medical and geological imaging.

Funded Activity Details

Start Date: 01-01-2023

End Date: 31-12-2025

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $419,420.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Partial differential equations | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Expanding Knowledge In the Mathematical Sciences | Partial differential equations | Pure mathematics

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