Biography

My work focusses on developing and analysing mathematical models of physical processes arising in practical problems and interpreting the results into their original context. The majority of my work takes place on the interface between mathematics, industry and other sciences, namely; physics, chemistry, engineering and biology. Areas of application that I have worked on/am working in, include; (i) lithium-ion batteries; (ii) organic and hybrid (particularly perovskite) solar cells; (iii) signal propogation in axons, and; (iv) fluid flow in glass manufacture. Working in these areas I have naturally developed keen interests in the following arenas of mathematics: (a) differential (and integro-differential) equations; (b) asymptotic/perturbation methods; (c) numerical methods/scientific computation; (d) continuum mechanics (both solid and fluid); (e) free boundary problems; (f) homogenisation and upscaling in multiscale systems, and; (g) Monte Carlo simulation.

Research outputs

2025

Multiple scales homogenisation of a porous viscoelastic material with rigid inclusions: application to lithium-ion battery electrodes

Chapman, J., Foster, J., Galvis Rodriguez, A. F., Protas, B.

5 Mar 2025, In: Journal of the Mechanics and Physics of Solids. 199, 27p., 106072

2024

Mechanical Deformation in Lithium-Ion Battery Electrodes: Modeling and Experiment

Foster, J. M., Hahn, Y., Oancea, V., Patanwala, H., Sahraei, E.

13 Jun 2024, In: Journal of Electrochemical Energy Conversion and Storage. 22, 1, 9p., 011012

Investigating the effect of the separation of scales in reduced order battery modelling: implications on the validity of the Newman Model

Copper, S., Foster, J., Galvis Rodriguez, A. F., Squires, I.

20 May 2024, In: Journal of the Electrochemical Society. 171, 7p., 050536

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