Discovery Projects - Grant ID: DP140100933

Funding Activity

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Funded Activity Summary

Asymptotics of the exponentially small. Asymptotic analysis plays a vital role in studying the complex interfacial dynamics that are fundamental for practical problems in fluid mechanics such as the withdrawal of oil and gas from underground reservoirs and the optimal design of ship hulls to minimise wave drag. These applications exhibit extremely small physical effects that may be crucially important but cannot be described using classical asymptotic analysis. This project will develop state of the art mathematical techniques in exponential asymptotics to address this deficiency in the classical theory, and provide a deeper understanding of pattern formation, instabilities and wave propagation on the interface between two fluids.

Funded Activity Details

Start Date: 2014

End Date: 06-2019

Funding Scheme: Discovery Projects

Funding Amount: $321,000.00

Funder: Australian Research Council