Diffusion and first passage times in random media

Overview

Diffusion in homogenous environments is relatively well understood, but the problem becomes more complicated in complex environments - such as wood tissue, cells, filters and catalysts. At QUT there is extensive expertise in using advanced numerical methods to model diffusions and first passage times in complex environments.

The ability to combine this expertise with realistic models of random media based on level-sets of Gaussian random field.

Research activities

You will be studying partial differential equations (derivation and simple models), using or developing codes to visualise and model Gaussian random fields and numerical methods for solving first passage times and effective diffusivities in these environments.

Outcomes

Working computer programs for simulating level sets of Gaussian random fields, and accuratly finding their effective properties.

Skills and experience

Knowledge of partial differentential equations and computational methods.

Scholarships

You may be eligible to apply for a research scholarship.

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Keywords

• Mathematics
• Computation

Contact

Tony Roberts, School of Mathematical Sciences.