Publications

Journal articles


[11] Mathematical modelling of impurity deposition during evaporation of dirty liquid in a porous material

EK Luckins, CJW Breward, IM Griffiths, CP Please. Journal of Fluid Mechanics 986, A31. doi:10.1017/jfm.2024.360 (2024)


[10] The role of temperature and drying cycles on impurity deposition in drying porous media

EK Luckins, CJW Breward, IM Griffiths, CP Please. Europhysics Letters 146, 33001 (2024)


[9] The effect of pore-scale contaminant distribution on the reactive decontamination of porous media

EK Luckins, CJW Breward, IM Griffiths, CP Please. European Journal of Applied Mathematics 35(2):318-358. doi:10.1017/S0956792523000219 (2024)


[8] Fluid-flow effects in the reactive decontamination of porous materials driven by chemical swelling or contraction

Y Geng, AA Kamilova, EK Luckins. Journal of Engineering Mathematics 141, 11. https://doi.org/10.1007/s10665-023-10283-6 (2023) (Editor's pick)


[7] A homogenised model for the motion of evaporating fronts in porous media

EK Luckins, CJW Breward, IM Griffiths, CP Please. European Journal of Applied Mathematics 34(4), 806-837 (2023)


[6] Modelling and analysis of an endothermic reacting counter-current flow

EK Luckins, JM Oliver, CP Please, BM Sloman, RA Van Gorder.  Journal of Fluid Mechanics  949, A21. doi:10.1017/jfm.2022.702 (2022)


[5] Modelling alternating current effects in a submerged arc furnace

EK Luckins, JM Oliver, CP Please, BM Sloman, AM Valderhaug, RA Van Gorder.  IMA Journal of Applied Mathematics 87(3), 492-520 (2022)


[4] Homogenised model for the electrical current distribution within a submerged arc furnace for silicon production

EK Luckins, JM Oliver, CP Please, BM Sloman, RA Van Gorder.  European Journal of Applied Mathematics 33(5), 828-863 (2022)


[3] Homogenisation problems in reactive decontamination

EK Luckins, CJW Breward, IM Griffiths, Z Wilmott. European Journal of Applied Mathematics 31(5), 782-805 (2020)


[2] Bose-Einstein condensation under the cubic-quintic Gross-Pitaevskii equation in radial domains

EK Luckins, RA Van Gorder. Annals of Physics 388, 206-234 (2018)


[1] Linear stability analysis of steady-state tropical cyclones with single or double eyewalls

EK Luckins, RA Van Gorder. Quarterly Journal of the Royal Meteorological Society 143(708), 2939-2959 (2017)

Technical reports

DPhil thesis: Mathematical modelling of electrical, thermal, and chemical processes occurring within a silicon furnace

Study group report (ESGI 167 Kent 2022): "Whatever Input to Torsion Transfer": Harvesting energy from a WITT gearbox device 

Study group report (SWI Tilburg 2020): Modelling airflow-driven water droplet removal from a flat surface