Finite Transition Times for Coupled Linear Diffusion Problems

When a physical system subject to diffusive transport equation(s) suddenly undergoes a change in boundary conditions, it asymptotically approaches a new equilibrium state over an infinite time period. However, there exists some finite time period after which the system is only nominally distinguishable from its new equilibrium state. Characterising this finite time period provides engineers and scientists with a practical answer to the question of how long the transport process takes. The aim of this project is to investigate extension of a recently proposed method for calculating this finite time period to a novel application involving coupled linear diffusion applications.

Jonah Klowss

Queensland University of Technology

Jonah Klowss is a recent graduate of a double degree in Applied and Computational Mathematics and Physics at the Queensland University of Technology. Jonah’s research focus is on mathematical models of diffusion processes, and he plans to continue this path of research into a Master of Mathematics, commencing in 2020. He has also been involved in research into the small-scale clustering properties of dark matter as part of his undergraduate studies. In addition to his enthusiasm for mathematics, in his free time Jonah takes to an interest in all things related to football or history.

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