Read more on my personal website, or you can contact me at firstname.lastname@example.org.
I am an applied mathematician, working on the mathematical modelling of physical systems. My work focuses mostly on fluid mechanics and elasticity, but I am also interested in chemical reactions, heat flow and other physical processes.
During my PhD, I studied the production of thin glass sheets via the redraw process in collaboration with Schott AG. Since then, I have become interested in the deformation of thin elastic sheets, and the intricate wrinkled patterns that can be found on them under the right conditions. Broadly speaking, I am interested in fluid-structure interactions, viscous flow, capillarity, elastocapillarity, moving boundary problems, elasticity and heat flow.
I am an applied mathematician. I use maths - usually differential equations - to describe, understand and predict the behaviour of physical systems. My specialties are systems involving fluid flow, systems involving deformation of solid bodies, and systems involving chemical reactions. I am motivated by real-world problems, by situations where counter-intuitive behaviour can be explained using maths, and by taking phenomena that are usually annoying and using them to our advantage.
You can find details of some of my research projects on my research page. Here is a list of the areas I work or have worked in:
Fluid Mechanics: Viscous flow, capillary flows, fluid-structure interaction
Solid Mechanics: Elasticity, plasticity, wrinkle mechanics
Chemistry: Decontamination problems, batteries
Industrial mathematics: Glass manufacture, metal forming
Peer Reviewed Journals
Response to periodic disturbances in the glass redraw process
S. G. Marquis, D. O'Kiely, P. D. Howell, U. Lange & I. M. Griffiths
(2020) Response to periodic disturbances in the glass redraw process
In Journal Of Engineering Mathematics;
Dynamic buckling of an elastic ring in a soap film
F. Box, O. Kodio, D. O'Kiely, V. Cantelli, A. Goriely & D. Vella
(2020) Dynamic buckling of an elastic ring in a soap film
In Physical Review Letters;
Impact on floating thin elastic sheets: a mathematical model
D O'Kiely, F. Box, O. Kodio, J. Whiteley, D. Vella
(2020) Impact on floating thin elastic sheets: a mathematical model
In Physical Review Fluids;
Out-of-plane buckling in two-dimensional glass drawing
D. O'Kiely, C. J. W. Breward, I. M. Griffiths, P. D. Howell, U. Lange
(2019) Out-of-plane buckling in two-dimensional glass drawing
In Journal Of Fluid Mechanics;
Dynamics of wrinkling in ultrathin elastic sheets.
F. Box, D. O'Kiely, O. Kodio, M. Inizan, A. A. Castrejón-Pita, D. Vella
(2019) Dynamics of wrinkling in ultrathin elastic sheets.
In Proceedings of the National Academy of Sciences of the United States of America;
Mathematical modeling of chemical agent removal by reaction with an immiscible cleanser
M. P. Dalwadi, D. O'Kiely, S. J. Thomson, T. S. Khaleque & C. L. Hall
(2017) Mathematical modeling of chemical agent removal by reaction with an immiscible cleanser
In Siam Journal On Applied Mathematics;
Inertial rise of a meniscus on a vertical cylinder
D. O'Kiely, J. P. Whiteley J. M. Oliver & D. Vella
(2015) Inertial rise of a meniscus on a vertical cylinder
In Journal Of Fluid Mechanics;
Homogenization theory for periodic potentials in the Schrödinger equation
L. Ó Náraigh & D. O'Kiely
(2013) Homogenization theory for periodic potentials in the Schrödinger equation
In European Journal Of Physics;