Energy generation and storage
Identifying cheap and efficient means of generating and storing energy is key to the low-carbon economy. Current work involves performing the mathematical modelling needed to inform and guide the development of organic and perovskite-based solar cells (energy capture) and lithium-ion batteries (storage).
Typical models are comprised of a system of partial differential equations that capture the key electrochemical processes that occur within these devices. A combination of analytical and numerical analysis is used to solve and understand the behaviour of the systems.
The mathematical results are then reinterpreted into their physical context so that the understanding gleaned can be used in the motivating area.