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
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
2024
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
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
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
King, J. R., Richardson, G. W., Foster, J.
14 Jun 2023, In: European Journal of Applied Mathematics, 34p.
Research output: Article
Sahu, S., Foster, J.
1 Apr 2023, In: Journal of Energy Storage. 60, 12p., 106516
Research output: Article
2022
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
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
Ahmadi, A., Foster, J., Protas, B.
22 Aug 2022, In: Physical Review E. 106, 2, 20p., 025313
Research output: Article
Brosa Planella, F., AI, W., Boyce, A. M., Gosh, A., Korotkin, I., Sahu, S., Sulzar, V., Timms, R., Tranter, T. G., Zyskin, M., Edge, J. S., Foster, J. M., Marinescu, M., Wu, B., Richardson, G.
19 Jul 2022, In: Progress in Energy. 4, 4, 43p., 042003
Research output: Article