### Biography

Read more on my personal website, or you can contact me at doireann.okiely@ul.ie.

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.

### 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:

__Viscous flow, capillary flows, fluid-structure interaction__

Fluid Mechanics:

Fluid Mechanics:

__Solid Mechanics:__Elasticity, plasticity, wrinkle mechanics

__Chemistry__: Decontamination problems, batteries

__Industrial mathematics:__Glass manufacture, metal forming

### Publications

#### Peer Reviewed Journals

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;*
pp. 014003-

**DOI:** https://doi.org/10.1103/PhysRevFluids.5.014003

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;*

**DOI:** https://doi.org/10.1007/s10665-020-10038-7

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;*
pp. 587-609

**DOI:** 10.1017/jfm.2019.221

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;*

**DOI:** 10.1073/pnas.1905755116

Glass sheet redraw through a long heater zone

D. O'Kiely, C. J. W. Breward, I. M. Griffiths, P. D. Howell & U. Lange

(2018)
Glass sheet redraw through a long heater zone

* In Ima Journal Of Applied Mathematics (Institute Of Mathematics And Its Applications);*
pp. 799-820

**DOI:** 10.1093/imamat/hxy021

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;*
pp. 1937-1961

**DOI:** 10.1137/16M1101647

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;*
pp. -R2

**DOI:** 10.1017/jfm.2015.89

Edge behaviour in the glass sheet redraw process

D. O'Kiely, C. J. W. Breward, I. M. Griffiths, P. D. Howell & U. Lange

(2015)
Edge behaviour in the glass sheet redraw process

* In Journal Of Fluid Mechanics;*
pp. 248-269

**DOI:** 10.1017/jfm.2015.629

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;*
pp. 19-31

**DOI:** 10.1088/0143-0807/34/1/19