Overview
Topic status: We're looking for students to study this topic.
There are numerous physical and biological problems that may be modelled in one spatial dimension as a reactive process that also involves the transport processes of diffusion and advection. Typical models of this form would include the chemotactic migration of a population of cells or the diffusion of a substance in a rapidly growing domain. Recent analysis of such problems has given rise to a renewed interest in the Catastrophe theory developed in the 1970's, as the theory associated appears to be directly applicable to the onset of shock-fronted from smooth-fronted travelling waves, that are solutions to the advection-diffusion-reaction model. This project will involve a review of the key and relevant elements of Catastrophe theory together with an application of this theory to analysing, with the aid of phase-planes, the behaviour of a class of generic advection-diffusion reaction models.
- Study level
- Honours
- Supervisors
- QUT
- Organisational unit
Science and Engineering Faculty
- Research area
- Contact
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Please contact the supervisor.
Professor Graeme Pettet
