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Geometric Analysis and Partial Differential Equations Seminar
April 3, 2013 @ 10:30 am - 11:30 pm
Dr. Jason Sharples (University of New South Wales Canberra)
Analysis of complex combustion processes: combustion wave stability and dynamic behaviour of bushfires.
In this presentation, I will discuss two loosely-related aspects of my research: stability of travelling wave solutions of PDE systems representing multi-step combustion reactions, and dynamic fire spread propagation arising in coupled fire-atmosphere models. Knowledge of unstable regimes in combustion reactions is important in a number of industrial applications. In the first part of the presentation, I will discuss the oscillatory and chaotic behaviour of combustion waves and how the Hopf locus can be determined using Evans function techniques. In the second part of the presentation, I will discuss coupled fire-atmosphere models, which are becoming an increasingly common tool in managing extreme bushfires. In particular, I will show how these models have been able to shed light on an extremely dangerous mode of bushfire propagation.