Publications

  1. J. M. Foster, S. J. Chapman, G. Richardson & B. Protas, ‘A mathematical model for mechanically-induced deterioration of the binder in lithium-ion electrodes’, SIAM Journal on Applied Mathematics, 77(6):2172– 2198 (2017).

  2. K. J. Harris, J. M. Foster, M. Z. Tessaro, M. Jiang, X. Yang, Y. Wu, B. Protas & G. R. Goward, ‘Structure solution of metal-oxide Li battery cathodes from simulated annealing and lithium NMR spectroscopy’, Chemistry of Materials, 29(13):5550–5557 (2017).

  3. J. M. Foster, X. Huang, M. Jiang, S. J. Chapman, B. Protas & G Richardson, ‘Causes of binder damage in porous battery electrodes and strategies to prevent it’, Journal of Power Sources, 350:140–151 (2017).

  4. K. Domanski, B. Roose, M. Taisuke, M. Saliba, J. Correa-Baena, G. Richardson, J. M. Foster, F. De Angelis, A. Petrozza, N. Mine, W. Tress, U. Steiner, A. Hagfeldt & A. Abate, ‘Migration of cations induces reversible performance losses over day/night cycling in perovskite solar cells’, Energy & Environmental Science, 10:604–613 (2017).

  5. S. E. J. O’Kane, G. Richardson, A. Pockett, R. G. Niemann, J. M. Cave, N. Sakai, G. E. Eperon, H. J. Snaith, J. M. Foster, P. J. Cameron & A. B. Walker, ‘Measurement and modelling of dark current decay transients in perovskite solar cells’, Journal of Materials Chemistry C, 5:452–462 (2017).

  6. J. M. Foster & D. E. Pelinovsky, 'Self-similar solutions for reversing interfaces in the nonlinear diffusion equation with constant absorption', SIAM Journal on Applied Dynamical Systems, 15(4):2017-2050 (2016).

  7. G. Richardson, S. E. J. O'Kane, R. G. Niemann, T. A. Peltola, J. M. Foster, P. J. Cameron & A. B. Walker, 'Can slow-moving ions explain hysteresis in the current-voltage curves of perovskite solar cells', Energy & Environmental Science, 9:1476-1485 (2016).

  8. H. Liu, J. M. Foster, A. Gully, S. Krachkovskiy, M. Jiang, Y. Wu, X. Yang, B. Protas, G. R. Goward & G. A. Botton, 'Three-dimensional investigation of cycling-induced microstructural changes in lithium-ion battery cathodes using focused ion beam/scanning electron microscopy', Journal of Power Sources, 306:300-308 (2016).

  9. A. Abate, R. P. Tejada, K. Wojciechowski, J. M. Foster, A. Sadhanala, U. Steiner H. J. Snaith, S. Franco & J. Orduna, 'Phosphonic anchoring groups in organic dyes for solid-state solar cells', Physical Chemistry Chemical Physics, 17:18780-18789 (2015).

  10. J. M. Foster, A. Gully, H. Liu, S. Krachkovskiy, Y. Wu, S. Schougaard, M. Jiang, G. Goward, G. A. Botton & B. Protas, 'A homogenization study of the effects of cycling on the electronic conductivity of commercial lithium-ion battery cathodes', Journal of Physical Chemistry C, 119(22):12199-12208, (2015).

  11. S. Guarnera, A. Abate, W. Zhang, J. M. Foster, G. Richardson, A. Petrozza & H. J. Snaith, 'Improving the long-term stability of perovskite solar cells with a porous Al2O3 buffer-layer', Journal of Physical Chemistry Letters, 6(3):432-437 (2015).

  12. S. George, J. M. Foster & G. Richardson, 'Modelling in vivo action potential propagation along a giant axon', Journal of Mathematical Biology, 70:237-263 (2015).

  13. J. M. Foster, T. Leijtens, H. J. Snaith & G. Richardson, 'A model for perovskite based hybrid solar cells: analysis and comparison with experiment', SIAM Journal on Applied Mathematics, 74(6):1935-1966 (2014).

  14. J. M. Foster & A. D. Fitt, 'The halting of contact lines in slender viscous films driven by gravity and surface tension gradients', Physics of Fluids, 26:073601 (2014).

  15. J. M. Foster, J. Kirkpatrick & G. Richardson, 'Asymptotic and numerical prediction of current-voltage curves for an bilayer organic solar cell under varying illumination and comparison to the Shockley equivalent circuit', Journal of Applied Physics, 114(10):104501 (2013).

  16. G. Richardson, C. P. Please, J. M. Foster & J. Kirkpatrick, 'Asymptotic solution of a model for bilayer organic diodes and solar cells', SIAM Journal on Applied Mathematics, 72(6):1792-1817 (2012).

  17. J. M. Foster, C. P. Please & A. D. Fitt, 'The slow spreading of several viscous films over a deep viscous pool', Physics of Fluids, 24(6):063601 (2012).

  18. J. M. Foster, C. P. Please, A. D. Fitt & G. Richardson, 'The reversing of interfaces in slow diffusion processes with strong absorption', SIAM Journal on Applied Mathematics, 72(1):144-162 (2012).

  19. J. M. Foster, C. P. Please & A. D. Fitt, 'The slow spreading of a viscous fluid film over a deep viscous pool', Journal of Engineering Mathematics, 71:393-408 (2011).

    In review:

  20. J. M. Foster, P. Gysbers, J. R. King & D. E. Pelinovsky, ‘Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with absorption’, submitted for publication.

  21. N. E. Courtier, J. M. Foster, S. E. J. O’Kane, A. B. Walker & G. Richardson, ‘Systematic derivation of a surface polarization model for planar perovskite solar cells’, submitted for publication.

  22. N. E. Courtier, G. Richardson & J. M. Foster, ‘A fast and robust numerical scheme for solving models of charge carrier transport and ion vacancy motion in perovskite solar cells’, submitted for publication.

  23. F. Font, B. Protas, G. Richardson & J. M. Foster, ‘Binder migration during drying of lithium-ion battery electrodes: modelling and comparison to experiment’, submitted for publication.

  24. S. A. Krachkovskiy, J. M. Foster, J. David Bazak, Bruce J. Balcom, Nicole D. Ellison, I. C. Halalay & G. R. Goward, ‘Spatially resolved phase transformation and in-operando mapping of the Li concentration in graphite electrodes by in-situ MRI and NMR’, submitted for publication.

  25. N. E. Courtier, J. M. Cave, J. M. Foster, A. B. Walker & G. Richardson, ‘How transport layer properties affect perovskite solar cell performace: insights from a coupled charge transport/ion migration model, submitted for publication.