Professor Jamie Foster
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
Foster, J., Galvis Rodriguez, A. F., Protas, B., Chapman, J.
1 Jun 2025, In: Journal of the Mechanics and Physics of Solids. 199, 27p., 106072
Research output: Article
The Newman model for phase-change electrodes: physics-based hysteresis
Foster, J. M., Grudeva, Y., Korotkin, I., Dickinson, E. J. F., Offer, G., Richardson, G.
4 Apr 2025, In: Journal of the Electrochemical Society. 172, 4, 18p., 040501
Research output: Article
2024
Mechanical Deformation in Lithium-Ion Battery Electrodes: Modeling and Experiment
Foster, J. M., Hahn, Y., Patanwala, H., Oancea, V., Sahraei, E.
13 Jun 2024, In: Journal of Electrochemical Energy Conversion and Storage. 22, 1, 9p., 011012
Research output: Article
Investigating the effect of the separation of scales in reduced order battery modelling: implications on the validity of the Newman Model
Squires, I., Foster, J., Galvis Rodriguez, A. F., Copper, S.
20 May 2024, In: Journal of the Electrochemical Society. 171, 7p., 050536
Research output: Article
2023
Learning optimal forms of constitutive relations characterizing ion intercalation from data in mathematical models of lithium-ion batteries
Daniels, L., Sahu, S., Sanders, K. J., Goward, G. R., Foster, J. M., Protas, B.
7 Sep 2023, In: The Journal of Physical Chemistry C. 127, 35, p. 17508–17523, 16p., 35
Research output: Article
Interface behaviour of the slow diffusion equation with strong absorption: intermediate-asymptotic properties
King, J. R., Richardson, G. W., Foster, J.
14 Jun 2023, In: European Journal of Applied Mathematics, 34p.
Research output: Article
A continuum model for lithium plating and dendrite formation in lithium-ion batteries: Formulation and validation against experiment
Sahu, S., Foster, J.
1 Apr 2023, In: Journal of Energy Storage. 60, 12p., 106516
Research output: Article
2022
IonMonger 2.0: software for free, fast and versatile simulation of current, voltage and impedance response of planar perovskite solar cells
Clarke, W., Bennett, L. J., Grudeva, Y. I., Foster, J., Richardson, G., Courtier, N. E.
30 Nov 2022, In: Journal of Computational Electronics, 19p.
Research output: Article
Multiscale stiffness characterisation of both healthy and osteoporotic bone tissue using subject-specific data
Prada, D., Galvis Rodriguez, A. F., Miller, J., Foster, J., Zavaglia, C.
1 Nov 2022, In: Journal of the Mechanical Behavior of Biomedical Materials. 135, 15p., 105431
Research output: Article
Data-driven optimal closures for mean-cluster models: beyond the classical pair approximation
Ahmadi, A., Foster, J., Protas, B.
22 Aug 2022, In: Physical Review E. 106, 2, 20p., 025313
Research output: Article