Personal profile
Research Interests
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
Biography
Read more on my personal website, or you can contact me at [email protected].
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.
Related documents
Education/Academic qualification
Bachelor, BSC Theoretical Physics, University College Dublin
PhD, University of Oxford
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Collaborations and top research areas from the last five years
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Analysis of a Model for Polymorphism in Gravity-Driven, Antisolvent Crystallization
Assunção, M., Moroney, K. M., O’Kiely, D., Vynnycky, M. & O'Kiely, D., 30 Jun 2025, In: SIAM Journal on Applied Mathematics.Research output: Contribution to journal › Article › peer-review
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Asymptotic model for the interplay of sedimentation and crystallization
Assunção, M., Moroney, K. M., O'Kiely, D. & Vynnycky, M., 14 Jul 2025, In: Physical Review Fluids. 10, 7, p. 743021-7430228 6687208 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Through-thickness modelling of metal rolling using multiple-scales asymptotics
Erfanian, M., Brambley, E. J., Flanagan, F., O'Kiely, D. & O'Connor, A. N., 1 Sep 2025, In: European Journal Of Mechanics A-Solids. 113, 105712.Research output: Contribution to journal › Article › peer-review
Open Access -
Through-thickness resolution, stress oscillations and residual stress in cold rolling
Flanagan, F., O'Connor, A. N., Erfanian, M., Music, O. & O'Kiely, D., 1 Nov 2025, In: European Journal Of Mechanics A-Solids. 114, 105761.Research output: Contribution to journal › Article › peer-review
Open Access -
Wrinkling of a bilayer with spatially varying stiffness: from wrinkle branching to cascades
O'Kiely, D., Xin, M., Lecointre, P. & Vella, D., 11 Jun 2025, In: Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences. 481, 2315, 20240842.Research output: Contribution to journal › Article › peer-review
Open Access