Dr Ellen Luckins

DPhil, MMath

Status

Postdoctoral Research Associate

Contact form

https://people.maths.ox.ac.uk/luckins

+44 1865 615156

Research groups

Oxford Centre for Industrial and Applied Mathematics

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Further details

I am a postdoctoral researcher in OCIAM, having recently finished my DPhil on the InFoMM CDT.

Prizes, awards, and scholarships

Christopher Reddick Prize, InFoMM CDT, University of Oxford (2022)
Recognition Award, "Awards for Excellence" scheme, University of Oxford (2022)
Finalist of the IMA Lighthill Thwaites Prize (2021)
IMA Prize for Part C, University of Oxford (2017)
Fitzgerald Prize, Exeter College, University of Oxford (2017)
East Scholarship, Exeter College, University of Oxford (2016)

Major / recent publications

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 (submitted 2022)

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 (accepted 2022)

Modelling alternating current effects in a submerged arc furnace
EK Luckins, JM Oliver, CP Please, BM Sloman, AM Valderhaug, RA Van Gorder
IMA Journal on Applied Mathematics 87(3), 492-520 (2022)

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)

Homogenisation problems in reactive decontamination
E Luckins, CJW Breward, IM Griffiths, Z Wilmott
European Journal of Applied Mathematics 31(5), 782-805 (2019)

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)

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)

Teaching

Tutor:

Part C Topics in Fluid Mechanics (2022)

Retained Lecturer at Jesus College (2018-2022):

First year: Geometry, Dynamics
Second year: Differential Equations 1, Differential Equations 2, Integral Transforms

Teaching Assistant:

Part C Mathematical Geoscience (2018)

Research interests

I am interested in mathematical modelling of physical and industrial problems, including

Cleaning and decontamination
Heat and mass transfer
Chemical reaction models
Electromagnetism
Multi-scale processes
Free-boundary problems
Asymptotic methods

My current postdoctoral research is in the mathematics of filtration and decontamination, which involves developing and analysing models for interacting fluid flows and chemical processes within porous materials.

Previously, I studied for my DPhil at Oxford University through the InFoMM CDT. My DPhil research project was in collaboration with Elkem, a metallurgy company which produces silicon in a submerged arc furnace. My research focused on the coupled electrical, thermal, and chemical processes in the furnace.

Continuing research interests include reacting counter-current flows and the magnetohydrodynamic modelling of electric arcs.