### Biography

I have research links with the mechanics group (Dr. J. Lammers, Dr. P.Slikkerveer) at Philips Research Laboratories http://www.research.philips.com. where I worked from 1986-1993. The collaboration has continued both directly and via postgraduate students and we have jointly developed mathematical models for coating processes of interest to Philips in particular concentrating on the coating of television screens and CRTs. Philips Research provides great expertise both on the theoretical and experimental side and its uniformly high research standards have influenced me greatly.

Indeed my approach to mathematical modelling owes a lot to the Oxford Centre for Industrial and Applied Mathematics where I obtained a D.Phil. under the supervision of Alan Tayler.

**Mathematics Applications Consortium for Science and Industry (MACSI)**

MACSI was set up as a Science Foundation Ireland (Mathematics Initiative) funded project (of which I was the Principal Investigator) to establish a network of industrial applied mathematicians in Ireland, with the group at the University of Limerick at the hub. The grant awarded was the largest ever to mathematics in Ireland (Eur 5m) under SFI's mathematics initiative. The grant extended from 2006-2013. The MACSI group solves problems posed by collaborators from science, engineering and industry. In 2008, 2009, 2010, 2011, 2012, 2013 we held study groups with industry (problem solving for industry workshops). There will another at UL from June 28-July 3 2015. In January 2013, I was lead applicant of a team grant of Eur 2.1m (+600k in overheads) awarded under the SFI Investigator Programme. This will be used to fund a range of activities in applied and industrial mathematical modelling.

**European Consortium for Mathematics in Industry (ECMI)**

The European Consortium for Mathematics in Industry (ECMI) is a consortium of academic institutions and industrial companies that acts co-operatively to promote and support the use of mathematical models in any activity of social or economic importance, to educate Industrial Mathematicians to meet the growing demand for such experts, to operate on a European scale. I was vice president from 2012-2013 and am currently serving as president (2014-1015). Dietmar Hoemberg is the current vice president and will become president in 2016. The ECMI BLOG is at http://www.ecmiindmath.org

Applied mathematical modelling (MACSI)

Applied mathematical modelling (MACSI)

The terms "industrial mathematics", "applied mathematics" and "mathematical modelling" are often used as near synonyms to make the distinction with pure mathematics whose central tenet is formal proof and which is not generally concerned with real problems arising outside of mathematics. An applied mathematician is a kind of lapsed pure mathematician in the sense that he/she would like to prove every result formally but is sometimes unable to do so and must make intuitive leaps in the search for understanding. Otherwise, for example, the flow of air over airplane wings would not be understood. In fact applied mathematical modelling does not specify a novel kind of mathematics, but rather a philosophy of asking how things work. Emphasis is placed on the application of mathematics in non-mathematical disciplines, e.g., in finance, economics, biology, physics, chemistry or industry (which can be considered a complex world in itself often embracing all of the above disciplines). A process or phenomenon occurs outside mathematics and mathematics is used to explain, to understand or to improve it. The emphasis then is not on the mathematics itself, but on the use of mathematics to understand a phenomenon in a non-mathematical world. Mathematical modellers perceive themselves as being scientists as well as mathematicians and are interested in other disciplines apart from mathematics. Without this philosophy, most modern technology would not exist: airplanes would not fly, man would not have reached the moon, there would be no radar imaging nor scientific weather forecasts. Modern mathematical models help to quantitatively explain how ultrasound works, how diseases spread, how bubbles move in a pint of stout, how quickly spilt fuel on an airport runway percolates through the underlying soil, how wet paint drips from a ceiling, how the prices of options change. There are even mathematical models for the dynamics of marriage!

### Research Interests

My research interests include modelling of industrial problems, asymptotic methods, lubrication theory, free surface flows, Stokes flow, and porous flow.**Interested in postgraduate studies?**My direct line is 00 353 61 202644, my email is stephen dot obrien at ul dot ie. The basic entry requirement for postgraduate study is to be well motivated and to have a good degree in a numerate discipline, mathematics, physics or engineering with a strong mathematical content. I tend to work on modelling real world physical problems (see example below) so a background in physics or engineering is not a disadvantage.

**Typical Postgraduate Projects**

Michael Hayes (2001), Asymptotic and numerical modelling of thin film flows, PhD.

Michael Chapwanya (2005), Models for bioremediation, Ph.D.

Sean Lacey (2007), Modelling of rimming flows, Ph.D.

Marguerite Robinson (2007), Flow regime transitions in two phase flows, Ph.D.

Vincent Cregan (2011) Boundary value problems in the food industry, Ph.D.

**Typical Postgraduate Projects**

Michael Hayes (2001), Asymptotic and numerical modelling of thin film flows, PhD.

Michael Chapwanya (2005), Models for bioremediation, Ph.D.

Sean Lacey (2007), Modelling of rimming flows, Ph.D.

Marguerite Robinson (2007), Flow regime transitions in two phase flows, Ph.D.

Vincent Cregan (2011) Boundary value problems in the food industry, Ph.D.

Michael Hayes (2001), Asymptotic and numerical modelling of thin film flows, PhD.

Michael Chapwanya (2005), Models for bioremediation, Ph.D.

Sean Lacey (2007), Modelling of rimming flows, Ph.D.

Marguerite Robinson (2007), Flow regime transitions in two phase flows, Ph.D.

Vincent Cregan (2011) Boundary value problems in the food industry, Ph.D.

Michael Hayes (2001), Asymptotic and numerical modelling of thin film flows, PhD.

Michael Chapwanya (2005), Models for bioremediation, Ph.D.

Sean Lacey (2007), Modelling of rimming flows, Ph.D.

Marguerite Robinson (2007), Flow regime transitions in two phase flows, Ph.D.

Vincent Cregan (2011) Boundary value problems in the food industry, Ph.D.

**Bubbles in Guinness and roll waves on an inclined road are scientifically very similar phenomena.**

**Photograph and asymptotic estimate of the effect of an intrusive sensor under a bandage in tension.**Green's function computation and photograph of disturbance in thin film flow over a point defect on a television screen.See also Waves in Guinness,

### Teaching Interests

**Some Past Exam Papers**

**Vector Analysis MS4613 2001-2002.**

**Vector Analysis MS4613 2002-2003.**

**Vector Analysis MS4613 2003-2004.**

**Fluids MA4607 2001-2002.**

**Fluids MA4607 2002-2003.**

**Fluids MA4607 2003-2004.**

**Fluids MA4607 2004-2005.**

**Fluids MA4607 2004-2005.**

**Fluids MA4607 2012-2013.**

**PDEs MS4404 2001-2002.**

**PDEs MS4404 2002-2003.**

**PDEs MS4404 2003-2004.**

**PDEs MS4404 2004-2005.**

**Perturbation methods MS4407 2004-2005.**

**Perturbation methods MS4407 2005-2006.**

**Perturbation methods MS4407 2006-2007.**

**Perturbation methods MS4407 2007-2008.**

**Perturbation methods MS4407 20012-2013.**

**Mathematical Modelling MS4408 2007-2008.**

**Mathematical Modelling MS4408 2012-2013.**

**Course Notes**

**Perturbation methods MS4407 2017-1018.**

**Vector Analysis MS4613 2017-2018.**

**Vector Calculus by M. Corral.**### Professional Activities

#### Association

- President (2014-2015), The European Consortium for Mathematics in Industry (ECMI)

### Publications

#### Book Chapters

Thin Film Flows: Theory and Modeling.

O'Brien, SBG; Schwartz, LW

(2006)
Thin Film Flows: Theory and Modeling.

* In Encyclopedia of Surface and Colloid Science, Second Edition.;*
pp. 6304-6317

Explosive solutions in rimming flow.

Benilov, ES; Lacey, S; O'Brien, SBG

(2005)
Explosive solutions in rimming flow.

* In Mathematical Modelling and Analysis;*
pp. 447-453

Bioremediation in a porous medium with small bio-clogging.

Chapwanya, M; O'Brien, SBG

(2005)
Bioremediation in a porous medium with small bio-clogging.

* In Mathematical Modelling and Analysis;*
pp. 65-70

A mathematical model for hammocking of a bandage on a limb

O'Brien, SBG; Casey, V

(2003)
A mathematical model for hammocking of a bandage on a limb

* In Progress in Industrial Mathematics 2002;*
pp. 340-345

Theory and modelling of thin liquid films.

O'Brien, SBG; Schwartz, LW

(2001)
Theory and modelling of thin liquid films.

* In Encyclopedia of Surface and Colloid Science,;*
pp. 5283-5297

Models for flows over non-flat substrates

O'Brien, SBG; Hayes, M; Lammers, J

(2000)
Models for flows over non-flat substrates

* In Trends in the application of mathematics to mechanics;*
pp. 147-155

The fluid profile of a gravity driven film over any small two dimensional object.

Hayes, MA;O'Brien, SBG; Lammers, JH

(1999)
The fluid profile of a gravity driven film over any small two dimensional object.

* In Advances in coating and drying of thin films Shaker Verlag;*
pp. 253-258

Capillary effects in thin films.

O'Brien, SBG

(1997)
Capillary effects in thin films.

* In Progress in Industrial Mathematics, Teubner;*
pp. 408-416

Spin-coating over topography

Lammers, JA; O'Brien, SBG

(1997)
Spin-coating over topography

* In Fluid Mechanics of coating processes, World Scientific;*
pp. 278-290

Effects of evaporation during spin-coating,

Lammers, JH; O'Brien, SBG

(1996)
Effects of evaporation during spin-coating,

* In The mechanics of thin film coatings, World Scientific Press.;*
pp. 397-403

Drying flow in a thin film induced by the presence of alcohol vapour

O'Brien, SBG

(1996)
Drying flow in a thin film induced by the presence of alcohol vapour

* In Progress in Industrial and Applied Mathematics;*
pp. 341-350

Local effects in some non-linear evolution equations

O'Brien, SBG

(1993)
Local effects in some non-linear evolution equations

* In Integration of theory and applications in applied mechanics;*
pp. 197-

Surface tension and contact angle problems in industry

O'Brien, SBG

(1993)
Surface tension and contact angle problems in industry

* In Contact Angle, Wettability and Adhesion;*

Anisotropic conduction in a polymeric material

van den Brule, BHAA; O'Brien, SBG

(1990)
Anisotropic conduction in a polymeric material

* In Proceedings of the British Society of Rheology, Edinburgh.;*

#### Peer Reviewed Journals

Temperature evolution in a partially submerged approximate cheese cylinder

V. Cregan, S.B.G. O'Brien, J. Charpin, K. Cronin.

(2013)
Temperature evolution in a partially submerged approximate cheese cylinder

* In Journal Of Food Engineering;*
pp. 398-406

**DOI:** 10.1016/j.jfoodeng.2012.10.022

Extended asymptotic solutions to the spin-coating model with small evaporation

Cregan, V,O'Brien, SBG

(2013)
Extended asymptotic solutions to the spin-coating model with small evaporation

* In Applied Mathematics And Computation;*
pp. 76-87

**DOI:** 10.1016/j.amc.2013.07.071

Temperature evolution in a partially submerged approximate cheese cylinder

Cregan, V,O'Brien, SBG,Charpin, JPF,Cronin, K

(2013)
Temperature evolution in a partially submerged approximate cheese cylinder

* In Journal Of Food Engineering;*
pp. 398-406

**DOI:** 10.1016/j.jfoodeng.2012.10.022

The MACSI summer school: a case study in outreach in mathematics

J.P.F. Charpin, P. Hanrahan, J.F. Mason, S.B.G. O'Brien & M. O'Sullivan

(2012)
The MACSI summer school: a case study in outreach in mathematics

* In International Journal Of Mathematical Education In Science And Technology;*
pp. 863-880

**DOI:** 10.1080/0020739X.2012.662293

On rimming flows with shocks

Benilov, ES,Lapin, VN,O'Brien, SBG

(2012)
On rimming flows with shocks

* In Journal Of Engineering Mathematics;*
pp. 49-62

**DOI:** 10.1007/s10665-011-9512-2

Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers

Mitchell, SL,O'Brien, SBG

(2012)
Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers

* In Applied Mathematics And Computation;*
pp. 376-388

**DOI:** 10.1016/j.amc.2012.06.026

MATHEMATICAL MODELLING OF A SOLID PARTICLE MOTION IN A RE-CIRCULATORY FLUIDISED BED UNIT

Catak, M; Bas, N; Cronin, K; O'Brien, S; Byrne, E

(2011)
MATHEMATICAL MODELLING OF A SOLID PARTICLE MOTION IN A RE-CIRCULATORY FLUIDISED BED UNIT

* In Canadian Journal Of Chemical Engineering;*
pp. 92-100

**DOI:** 10.1002/cjce.20390

A simple model for multicomponent etching

Fowler, AC; Ward, JA; O'Brien, SBG

(2011)
A simple model for multicomponent etching

* In Journal Of Colloid And Interface Science;*
pp. 421-423

**DOI:** 10.1016/j.jcis.2010.10.056

Lin & Segel's Standing Gradient Problem Revisited: A Lesson in Mathematical Modeling and Asymptotics

O'Brien, SBG

(2011)
Lin & Segel's Standing Gradient Problem Revisited: A Lesson in Mathematical Modeling and Asymptotics

* In Siam Review;*
pp. 775-796

**DOI:** 10.1137/100794274

Acid polishing of lead glass

A.C. Fowler, J.A. Ward, S.B.G. O'Brien

(2011)
Acid polishing of lead glass

* In Mathematics In Industry;*
pp. 1-19

**DOI:** 10.1186/2190-5983-1-1

Modelling of particle motion in an internal re-circulatory fluidized bed

Cronin, K; Catak, M; Tellez-Medina, D; Cregan, V; O'Brien, S

(2010)
Modelling of particle motion in an internal re-circulatory fluidized bed

* In Chemical Engineering Journal;*
pp. 393-402

**DOI:** 10.1016/j.cej.2010.03.008

THE SHAPE OF A SMALL LIQUID DROP ON A CONE AND PLATE RHEOMETER

Cregan, V; O'Brien, SBG; Mckee, S

(2010)
THE SHAPE OF A SMALL LIQUID DROP ON A CONE AND PLATE RHEOMETER

* In Siam Journal On Applied Mathematics;*
pp. 2075-2096

**DOI:** 10.1137/090765201

A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging

Chapwanya, M; O'Brien, S; Williams, JF

(2010)
A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging

* In Journal Of Computational And Applied Mathematics;*
pp. 2709-2723

**DOI:** 10.1016/j.cam.2010.01.024

Smoothing of roll wave shocks by surface tension

O'Brien S.B.G., Robinson M.

(2009)
Smoothing of roll wave shocks by surface tension

* In International Journal Of Pure And Applied Mathematics;*
pp. 151-156

Existence and stability of regularized shock solutions, with applications to rimming flows

Benilov, ES; Benilov, MS; O'Brien, SBG

(2009)
Existence and stability of regularized shock solutions, with applications to rimming flows

* In Journal Of Engineering Mathematics;*
pp. 197-212

**DOI:** 10.1007/s10665-008-9227-1

Stability of regularized shock solutions, with applications to rimming flows

Benilov, ES; Benilov, MS; O'Brien, SBG

(2009)
Stability of regularized shock solutions, with applications to rimming flows

* In Journal Of Engineering Mathematics;*
pp. 197-212

Multidisciplinary activities in a community mental health service: Relationship to health of the Nation Outcome Scale scores and diagnosis

Meagher D., O'Brien S., Pullela A., Oshun A., Brosnan P.

(2009)
Multidisciplinary activities in a community mental health service: Relationship to health of the Nation Outcome Scale scores and diagnosis

* In Psychiatric Bulletin;*
pp. 172-175

**DOI:** 10.1192/pb.bp.107.019190

Five-year follow-up of an evidence-based prescribing intervention

Meagher D., Pullela A., Meisinger M., Geaney N., O'Brien S.

(2008)
Five-year follow-up of an evidence-based prescribing intervention

* In Psychiatric Bulletin;*
pp. 183-186

**DOI:** 10.1192/pb.bp.107.017095

Waves in Guinness

Robinson, M; Fowler, AC; Alexander, AJ; O'Brien, SBG

(2008)
Waves in Guinness

* In Physics Of Fluids;*

**DOI:** 10.1063/1.2929369

[ULIR]

A note on spin-coating with small evaporation

Cregan, V; O'Brien, SBG

(2007)
A note on spin-coating with small evaporation

* In Journal Of Colloid And Interface Science;*
pp. 324-328

**DOI:** 10.1016/j.jcis.2007.05.019

Selection of processing temperature to minimize product temperature variability in food heating processes

Cronin, K; Mackey, D; Cregan, V; O'Brien, S; Gleeson, JP; Abodayeh, K

(2007)
Selection of processing temperature to minimize product temperature variability in food heating processes

* In Food And Bioproducts Processing;*
pp. 344-353

**DOI:** 10.1205/fbp07080

A note on spin coating with small evaporation.

O'Brien, SBG; Cregan, V

(2007)
A note on spin coating with small evaporation.

* In J. Colloid And Interface Science;*
pp. 324-328

Further self-interescting solutions of the pendant drop equations

O'Brien, SBG

(2006)
Further self-interescting solutions of the pendant drop equations

* In Proceedings Royal Irish Academy, Section A;*
pp. 63-84

Exploding solutions for three-dimensional rimming flows

Benilov, ES; Lacey, SM; O'Brien, SBG

(2005)
Exploding solutions for three-dimensional rimming flows

* In Quarterly Journal Of Mechanics And Applied Mathematics;*
pp. 563-576

**DOI:** 10.1093/qjmam/hbi020

A model for gravity driven flow of a thin liquid solid suspension with evaporation effects.

O'Brien, SBG; Hayes, MA

(2005)
A model for gravity driven flow of a thin liquid solid suspension with evaporation effects.

* In Zamp;*
pp. 1-22

Does surface tension stabilize liquid films inside a rotating horizontal cylinder?

Benilov, ES; Kopteva, N; O'Brien, SBG

(2005)
Does surface tension stabilize liquid films inside a rotating horizontal cylinder?

* In Quarterly Journal Of Mechanics And Applied Mathematics;*
pp. 185-200

**DOI:** 10.1093/qjmamj/hbi004

Corner and start-up singularities in porous flow

Chapwanya, M; O'Brien, SBG

(2005)
Corner and start-up singularities in porous flow

* In Journal Of Computational And Applied Mathematics;*
pp. 163-177

**DOI:** 10.1016/j.cam.2004.07.010

A model for gravity driven flow of a thin liquid-solid solution with evaporation effects

Hayes, M; O'Brien, SBG

(2005)
A model for gravity driven flow of a thin liquid-solid solution with evaporation effects

* In Zeitschrift Fur Angewandte Mathematik Und Physik;*
pp. 852-873

**DOI:** 10.1007/s00033-005-3098-3

Inertial instability of a liquid film inside a rotating horizontal cylinder

Benilov, ES; O'Brien, SBG

(2005)
Inertial instability of a liquid film inside a rotating horizontal cylinder

* In Physics Of Fluids;*

**DOI:** 10.1063/1.1905964

Similarity solutions in groundwater flow.

O'Brien, SBG; Chapwanya, M

(2004)
Similarity solutions in groundwater flow.

* In Journal Of Computational And Applied Mathematics;*
pp. 163-177

Spin-coating over a small sinusoidal topography

Hayes, M; O'Brien, SBG

(2004)
Spin-coating over a small sinusoidal topography

* In Int. J. Mathematics & Mathematical Sciences;*
pp. 2279-2298

Asymptotics of self-intersecting loop solutions of the pendant drop equations

O'Brien, SBG

(2004)
Asymptotics of self-intersecting loop solutions of the pendant drop equations

* In Zeitschrift Fur Angewandte Mathematik Und Mechanik;*
pp. 158-170

**DOI:** 10.1002/zamm.200310095

Lithospheric failure on Venus

Fowler, AC; O'Brien, SBG

(2003)
Lithospheric failure on Venus

* In Proceedings Of The Royal Society Of London Series A-Mathematical Physical And Engineering Sciences;*
pp. 2663-2704

**DOI:** 10.1098/rspa.2002.1083

A mathematical model for hammocking of a bandage on a limb

O'Brien, SBG; Casey, V

(2003)
A mathematical model for hammocking of a bandage on a limb

* In Progress In Industrial Mathematics;*
pp. 340-345

A new type of instability: explosive disturbances in a liquid film inside a rotating horizontal cylinder

Benilov, ES; O'Brien, SBG; Sazonov, IA

(2003)
A new type of instability: explosive disturbances in a liquid film inside a rotating horizontal cylinder

* In Journal Of Fluid Mechanics;*
pp. 201-224

**DOI:** 10.1017/S0022112003006633

Linear stability of rimming flow

O'Brien, SBG

(2002)
Linear stability of rimming flow

* In Quarterly Of Applied Mathematics;*
pp. 201-211

Asymptotics of a sequence of pendant drops

O'Brien, SBG

(2002)
Asymptotics of a sequence of pendant drops

* In Siam Journal On Applied Mathematics;*
pp. 1569-1580

**DOI:** 10.1137/S0036139901384789

A model for dip-coating of a two liquid mixture.

Hayes, M; O'Brien, SBG

(2002)
A model for dip-coating of a two liquid mixture.

* In Int. J. Mathematics & Mathematical Sciences;*
pp. 313-325

A mechanism for two dimensional instabilities in rimming flow.

O'Brien, SBG

(2002)
A mechanism for two dimensional instabilities in rimming flow.

* In Quarterly Of Applied Mathematics;*
pp. 283-300

Numerical and asymptotic solutions for hammocking.

O'Brien, SBG; Casey, V

(2002)
Numerical and asymptotic solutions for hammocking.

* In Quart. J. Mech. App. Math;*
pp. 409-420

Asymptotic and numerical solutions for a hammocking model

O'Brien, SBG; Casey, V

(2002)
Asymptotic and numerical solutions for a hammocking model

* In Quarterly Journal Of Mechanics And Applied Mathematics;*
pp. 409-420

**DOI:** 10.1093/qjmam/55.3.409

A mechanism for linear instability in two-dimensional rimming flow

O'Brien, SBG

(2002)
A mechanism for linear instability in two-dimensional rimming flow

* In Quarterly Of Applied Mathematics;*
pp. 283-299

Pressure measurement under a bandage

Casey, V; O'Callaghan, M; O'Brien, SBG

(2001)
Pressure measurement under a bandage

* In Sensors and their Application;*
pp. 88-94

An investigation of the hammocking effect associated with interface pressure measurements using pneumatic tourniquet cuffs

Casey, V; Griffin, S; O'Brien, SBG

(2001)
An investigation of the hammocking effect associated with interface pressure measurements using pneumatic tourniquet cuffs

* In Medical Engineering & Physics;*
pp. 511-517

Evaporative and topographical effects in coating flows

O'Brien, SBG; Hayes, M

(2001)
Evaporative and topographical effects in coating flows

* In Mathematics In Industry;*

Evaporative and topographical effects in coating flows.

O'Brien, SBG; Hayes, M

(2001)
Evaporative and topographical effects in coating flows.

* In Mathematics In Engineering And Industry;*

Green's function for flow over a small two dimensional topography

Hayes, M; O'Brien, SBG; Lammers, J

(2000)
Green's function for flow over a small two dimensional topography

* In Physics Of Fluids;*
pp. 2845-2861

Green's function for steady flow over a small two-dimensional topography

Hayes, M; O'Brien, SBG; Lammers, JH

(2000)
Green's function for steady flow over a small two-dimensional topography

* In Physics Of Fluids;*
pp. 2845-2858

**DOI:** 10.1063/1.1311970

Small exponent asymptotics

Fowler, AC; Kember, G; O'Brien, SGB

(2000)
Small exponent asymptotics

* In Ima Journal Of Applied Mathematics;*
pp. 23-38

**DOI:** 10.1093/imamat/64.1.23

Exponential asymptotics with a small exponent

Kember, GC; Fowler, AC; Evans, JD; O'Brien, SBG

(2000)
Exponential asymptotics with a small exponent

* In Quarterly Of Applied Mathematics;*
pp. 561-576

Matched asymptotic expansion calculation of the equilibrium shape of a hole in a thin liquid film

O'Brien, SBG

(1999)
Matched asymptotic expansion calculation of the equilibrium shape of a hole in a thin liquid film

* In Quarterly Of Applied Mathematics;*
pp. 453-464

The location of a shock in rimming flow

O'Brien, SBG; Gath, EG

(1998)
The location of a shock in rimming flow

* In Physics Of Fluids;*
pp. 1040-1042

**DOI:** 10.1063/1.869630

A model for the coating of cylindrical light bulbs.

O'Brien, SBG

(1998)
A model for the coating of cylindrical light bulbs.

* In Progress In Industrial Mathematics;*
pp. 46-55

Asymptotics with small exponent in a model for ice-sheet surging

O'Brien, SBG; Gath, EG; Fowler, AC

(1998)
Asymptotics with small exponent in a model for ice-sheet surging

* In Proceedings Royal Irish Academy, Section A;*
pp. 67-80

Asymptotics of a pinhole

OBrien, SBG

(1997)
Asymptotics of a pinhole

* In Journal Of Colloid And Interface Science;*
pp. 514-516

**DOI:** 10.1006/jcis.1997.4982

An implicit surface tension algorithm for picard solvers of surface-tension-dominated free and moving boundary problems

Slikkerveer P.J., Van Lohuizen E.P., O'Brien S.B.G.

(1996)
An implicit surface tension algorithm for picard solvers of surface-tension-dominated free and moving boundary problems

* In International Journal For Numerical Methods In Fluids;*
pp. 851-865

The meniscus near a small sphere and its relationship to line pinning of contact lines

OBrien, SBG

(1996)
The meniscus near a small sphere and its relationship to line pinning of contact lines

* In Journal Of Colloid And Interface Science;*
pp. 51-56

**DOI:** 10.1006/jcis.1996.0517

A mechanism for episodic subduction on Venus

Fowler, AC; OBrien, SBG

(1996)
A mechanism for episodic subduction on Venus

* In Journal Of Geophysical Research-Planets;*
pp. 4755-4763

**DOI:** 10.1029/95JE03261

An implicit surface tension algorithm for surface tension dominated free and moving boundary problems.

Slikkerveer, PJ; van Lohuizen, EP; O'Brien, SBG

(1995)
An implicit surface tension algorithm for surface tension dominated free and moving boundary problems.

* In Numerical Methods In Fluids;*
pp. 851-868

Asymptotic solutions for double pendant and extended sessile drops

O'Brien, SBG

(1994)
Asymptotic solutions for double pendant and extended sessile drops

* In Quarterly Of Applied Mathematics;*
pp. 43-48

NUMERICAL AND ASYMPTOTIC SOLUTIONS TO A MODEL FOR THE WATERPROOFING OF TELECOMMUNICATIONS CABLES

OBRIEN, SBG; SLIKKERVEER, PJ

(1994)
NUMERICAL AND ASYMPTOTIC SOLUTIONS TO A MODEL FOR THE WATERPROOFING OF TELECOMMUNICATIONS CABLES

* In International Journal Of Engineering Science;*
pp. 1283-1301

**DOI:** 10.1016/0020-7225(94)90039-6

Using applied mathematics in industrial problems.

O'Brien, SBG

(1994)
Using applied mathematics in industrial problems.

* In Bulletin Irish Mathematics Society;*
pp. 22-34

On Marangoni drying: non-linear waves in a thin film

O'Brien, SBG

(1993)
On Marangoni drying: non-linear waves in a thin film

* In Journal Of Fluid Mechanics;*
pp. 649-670

Surface tension and contact angle problems in industry. Journal of Adhesion Science and Technology

O'Brien, SBG

(1992)
Surface tension and contact angle problems in industry. Journal of Adhesion Science and Technology

* In Journal Of Adhesion;*
pp. 1037-1051

On the shape of small sessile and pendant drops by singular perturbation techniques

O'Brien, SBG

(1991)
On the shape of small sessile and pendant drops by singular perturbation techniques

* In Journal Of Fluid Mechanics;*
pp. 519-537

Shape of a small sessile drop and the determination of contact angle. Journal of the Royal Society: Faraday Transactions

O'Brien, SBG; van den Brule, BHAA

(1991)
Shape of a small sessile drop and the determination of contact angle. Journal of the Royal Society: Faraday Transactions

* In Journal Of Fluid Mechanics;*
pp. 1579-1583

A mathematical model for the cleansing of silicon substrates by fluid immersion

O'Brien, SBG; van den Brule, BHAA

(1991)
A mathematical model for the cleansing of silicon substrates by fluid immersion

* In J. Colloid And Interface Science;*
pp. 210-221

Anisotropic conduction of heat in a flowing polymeric material.

van den Brule, BHAA; O'Brien, SBG

(1990)
Anisotropic conduction of heat in a flowing polymeric material.

* In Rheologica Acta;*
pp. 580-590

A moving boundary problem in porous flow

O'Brien, SBG; Dijksman, JF

(1989)
A moving boundary problem in porous flow

* In Mathematics In Engineering And Industry;*
pp. 91-

Particle removal by surface tension forces

O'Brien, SBG; Leenaars, AFM

(1989)
Particle removal by surface tension forces

* In Philips Journal Of Research;*
pp. 183-209

#### Other Journals

The MACSI summer school: a case study in outreach in mathematics

88. J.P.F. Charpin, P. Hanrahan, J.F. Mason, S.B.G. O'Brien & M. O'Sullivan

(2012)
The MACSI summer school: a case study in outreach in mathematics

* In International Journal of Mathematical education in Science and Technology;*
pp. 863-880

**DOI:** 10.1080/0020739X.2012.662293

The MACSI summer school: a case study in outreach in mathematics

J.P.F. Charpin, P. Hanrahan, J.F. Mason, S.B.G. O'Brien & M. O'Sullivan

(2012)
The MACSI summer school: a case study in outreach in mathematics

* In International Journal of Mathematical Education in Science and Technology ;*
pp. 863-880

**DOI:** 10.1080/0020739X.2012.662293

#### Conference Publications

ISSEC 2004

M. Chapwanya, S.B.G. O¿¿Brien

(2004)
ISSEC 2004

*(Ed.)
pp. *-*

ISSEC 2004.

S. Lacey, E.S. Benilov, S.B.G. O¿¿Brien

(2004)
ISSEC 2004.

*(Ed.)
pp. *-*

PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2002

OBrien, SBG; Casey, V

(2004)
PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2002

pp. 341-345

ISSEC 2004

M. Robinson, S.B.G. O'Brien

(2004)
ISSEC 2004

*(Ed.)
pp. *-*

British Applied Mathematics Colloquium

M. Chapwanya, S.B.G. O'Brien

(2004)
British Applied Mathematics Colloquium

*(Ed.)
pp. *-*

ISSEC

M. Chapwanya, S.B.G. O¿Brien

(2002)
ISSEC

*(Ed.)
pp. *-*

Bioengineering in Ireland (8), and, The 16th Meeting of the Northern Ireland Biomedical Engineering Society, joint conference

V. Casey, S. Griffin, M.Callaghan, S.B.G. O'Brien

(2002)
Bioengineering in Ireland (8), and, The 16th Meeting of the Northern Ireland Biomedical Engineering Society, joint conference

D.P. Fitzpatrick, B. A. O. McCormack and G. R. Dickson(Ed.)
pp. *-*

ECMI 2002

S.B.G. O'Brien, V. Casey

(2002)
ECMI 2002

*(Ed.)
pp. *-*

Fourth Dublin Differential Equations Conference

M. Hayes, S. O¿Brien

(2001)
Fourth Dublin Differential Equations Conference

*(Ed.)
pp. *-*

IMS 2001

M. Hayes, S. O¿Brien

(2001)
IMS 2001

*(Ed.)
pp. *-*

ISSEC 2001

M. Hayes, S.B.G. O¿Brien

(2001)
ISSEC 2001

*(Ed.)
pp. *-*

IMS Meeting

S O¿Brien, V. Casey

(2001)
IMS Meeting

*(Ed.)
pp. *-*

Presented at Sensors and their Applications XI conference

CASEY, V., CALLAGHAN, M., O'BRIEN, S. B. G.

(2001)
Presented at Sensors and their Applications XI conference

*(Ed.)
pp. *-*

Sensors & their applications XI, ISMCR 2001

V. Casey, M. Callaghan, S.B.G. O¿Brien

(2001)
Sensors & their applications XI, ISMCR 2001

*(Ed.)
pp. *-*

ISSEC 2001

D. Tocher, S.B.G. O¿Brien

(2001)
ISSEC 2001

*(Ed.)
pp. *-*

Presented at the Summer Meeting 2001, Royal Academy of Medicine in Ireland, Biomedical Sciences

CASEY, V., CALLAGHAN, M., O'BRIEN, S. B. G.

(2001)
Presented at the Summer Meeting 2001, Royal Academy of Medicine in Ireland, Biomedical Sciences

*(Ed.)
pp. *-*

IMS 2000

S.B.G. O¿Brien, M. Hayes

(2000)
IMS 2000

*(Ed.)
pp. *-*

ISSEC 2000

S.B.G. O¿Brien

(2000)
ISSEC 2000

*(Ed.)
pp. *-*

DIAS Easter Symposium

S.B.G. O¿Brien, M Hayes

(2000)
DIAS Easter Symposium

*(Ed.)
pp. *-*

ECMI 2000

S.B.G. O'Brien, M. Hayes

(2000)
ECMI 2000

*(Ed.)
pp. *-*

IUTAM 2000

S.B.G. O¿Brien, M Hayes

(2000)
IUTAM 2000

*(Ed.)
pp. *-*

IMS 2000

R. Fantoni, S.B.G. O'Brien

(2000)
IMS 2000

*(Ed.)
pp. *-*

STAMM 2000

S.B.G. O¿Brien, M Hayes

(2000)
STAMM 2000

*(Ed.)
pp. *-*

Third European Coating Conference

S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers

(1999)
Third European Coating Conference

*(Ed.)
pp. *-*

I.M.S. meeting

S.B.G. O¿Brien with M.A. Hayes

(1999)
I.M.S. meeting

*(Ed.)
pp. *-*

Annual meeting of the Irish Mathematical Society

S.B.G. O'Brien

(1998)
Annual meeting of the Irish Mathematical Society

*(Ed.)
pp. *-*

Dublin Institute for Advanced Study Symposium

S.B.G. O¿Brien

(1998)
Dublin Institute for Advanced Study Symposium

*(Ed.)
pp. *-*

ECMI 98

S.B.G. O¿Brien

(1998)
ECMI 98

*(Ed.)
pp. *-*

Irish Society for scientific and engineering computation

Fenton, B., & S.B.G. O¿Brien

(1998)
Irish Society for scientific and engineering computation

*(Ed.)
pp. *-*

Irish Mechanics Society Meeting

S.B.G. O¿Brien

(1998)
Irish Mechanics Society Meeting

*(Ed.)
pp. *-*

D.I.T.

S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers

(1998)
D.I.T.

*(Ed.)
pp. *-*

2nd International Conference on Coatings on Glass

S.B.G. O¿Brien with J.H. Lammers, & M.M.J. Decre

(1998)
2nd International Conference on Coatings on Glass

*(Ed.)
pp. *-*

Irish Mechanics Society Meeting

S.B.G. O¿Brien

(1997)
Irish Mechanics Society Meeting

*(Ed.)
pp. *-*

ISSEC

S.B.G. O¿Brien

(1997)
ISSEC

*(Ed.)
pp. *-*

Irish Society for scientific and engineering computation

S.B.G. O¿Brien with C. Jordan

(1997)
Irish Society for scientific and engineering computation

*(Ed.)
pp. *-*

Dublin Institute for Advanced Studies Symposium

S.B.G. O¿Brien

(1997)
Dublin Institute for Advanced Studies Symposium

*(Ed.)
pp. *-*

Irish Society for scientific and engineering computation

S.B.G. O¿Brien with B. Fenton

(1997)
Irish Society for scientific and engineering computation

*(Ed.)
pp. *-*

Irish Society for scientific and engineering computation

Jordan, C., & S.B.G. O¿Brien

(1997)
Irish Society for scientific and engineering computation

*(Ed.)
pp. *-*

Second European Coating Symposium

S.B.G. O¿Brien with J.H. Lammers & M. Decre

(1997)
Second European Coating Symposium

*(Ed.)
pp. *-*

DIAS Easter meeting

S.B.G. O¿Brien

(1997)
DIAS Easter meeting

*(Ed.)
pp. *-*

Second European Coating Symposium

S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers

(1997)
Second European Coating Symposium

*(Ed.)
pp. *-*

Irish Society for scientific and engineering computation

Jordan, C., & S.B.G. O¿Brien

(1997)
Irish Society for scientific and engineering computation

*(Ed.)
pp. *-*

Irish mechanics Society

S.B.G. O¿Brien

(1996)
Irish mechanics Society

*(Ed.)
pp. *-*

ECMI 1996 conference

S.B.G. O¿Brien

(1996)
ECMI 1996 conference

*(Ed.)
pp. *-*

8th international symposium on coating process science and technology, A.I.Ch.E. Spring meeting

S.B.G. O¿Brien with J.H. Lammers and M.N.M. Beerens

(1996)
8th international symposium on coating process science and technology, A.I.Ch.E. Spring meeting

*(Ed.)
pp. *-*

New Frontiers in industrial and Applied mathematics

S.B.G. O¿Brien

(1995)
New Frontiers in industrial and Applied mathematics

*(Ed.)
pp. *-*

Meeting of the Irish Mechanics society

S.B.G. O¿Brien

(1995)
Meeting of the Irish Mechanics society

*(Ed.)
pp. *-*

Annual meeting of the Irish Mathematical society

S.B.G. O¿Brien

(1995)
Annual meeting of the Irish Mathematical society

*(Ed.)
pp. *-*

ECMI

S.B.G. O¿Brien

(1994)
ECMI

*(Ed.)
pp. *-*

Irish Society for scientific and engineering computation

S.B.G. O¿Brien

(1994)
Irish Society for scientific and engineering computation

*(Ed.)
pp. *-*

DIAS Easter meeting

S.B.G. O¿Brien

(1994)
DIAS Easter meeting

*(Ed.)
pp. *-*

DIAS Christmas meeting

S.B.G. O¿Brien

(1994)
DIAS Christmas meeting

*(Ed.)
pp. *-*

A.I.Ch.E. meeting

S.B.G. O¿Brien

(1994)
A.I.Ch.E. meeting

*(Ed.)
pp. *-*

Burgersdag Symposium on Stromingsleer in de industrie (Fluid mechanics in industry)

S.B.G. O¿Brien

(1993)
Burgersdag Symposium on Stromingsleer in de industrie (Fluid mechanics in industry)

*(Ed.)
pp. *-*

Meeting of the Irish mechanics society

S.B.G. O¿Brien

(1993)
Meeting of the Irish mechanics society

*(Ed.)
pp. *-*

Seventh ECMI conference

S.B.G. O¿Brien

(1993)
Seventh ECMI conference

*(Ed.)
pp. *-*

Symposium in honour of Prof. R. Good on contact angle, wettability and adhesion

S.B.G. O¿Brien

(1992)
Symposium in honour of Prof. R. Good on contact angle, wettability and adhesion

*(Ed.)
pp. *-*

A.I.Ch.E. International Symposium and Exposition on Coating Process Science and Technology

S.B.G. O¿Brien

(1992)
A.I.Ch.E. International Symposium and Exposition on Coating Process Science and Technology

*(Ed.)
pp. *-*

Proceedings sol-gel conference

S.B.G. O¿Brien

(1992)
Proceedings sol-gel conference

*(Ed.)
pp. *-*

Second national mechanics congress

S.B.G. O¿Brien

(1992)
Second national mechanics congress

*(Ed.)
pp. *-*

fifth ECMI conference

S.B.G. O¿Brien

(1991)
fifth ECMI conference

*(Ed.)
pp. *-*

British Applied Mathematics Colloquium

S.B.G. O¿Brien

(1991)
British Applied Mathematics Colloquium

*(Ed.)
pp. *-*

Sixth European Conference for Mathematics in Industry (ECMI)

S.B.G. O¿Brien,

(1991)
Sixth European Conference for Mathematics in Industry (ECMI)

*(Ed.)
pp. 229-232

Second World Conference in Computational Mechanics

S.B.G. O'Brien

(1990)
Second World Conference in Computational Mechanics

*(Ed.)
pp. *-*

British Society of Rheology

S.B.G. O¿Brien

(1990)
British Society of Rheology

*(Ed.)
pp. *-*

#### Other Publications

Modelling of flow on a tilted rotating substrate

O'Brien, SBG

(1993)
Modelling of flow on a tilted rotating substrate

Modelling of spinning with evaporation

O'Brien, SBG

(1993)
Modelling of spinning with evaporation

Thin film flow on the inside of a rotating horizontal cylinder

O'Brien, SBG

(1993)
Thin film flow on the inside of a rotating horizontal cylinder

Flow on an axisymmetric rotating substrate with localised defect

O'Brien, SBG

(1992)
Flow on an axisymmetric rotating substrate with localised defect

Mathematical models for spin-coating

O'Brien, SBG

(1992)
Mathematical models for spin-coating

The shape of a liquid-gas interface near a large cylinder

O'Brien, SBG

(1990)
The shape of a liquid-gas interface near a large cylinder

Solutions for removal of particles from substrates by surface tension forces

O'Brien, SBG

(1990)
Solutions for removal of particles from substrates by surface tension forces

On the shape of a small liquid drop

O'Brien, SBG

(1990)
On the shape of a small liquid drop

Fluid interfaces near small axisymmetric objects

O'Brien, SBG

(1989)
Fluid interfaces near small axisymmetric objects

The removal of colloidal particles from solid (silicon) substrates by fluid immersion: formulation of a mathematical model.

O'Brien, SBG

(1988)
The removal of colloidal particles from solid (silicon) substrates by fluid immersion: formulation of a mathematical model.

Time dependent withdrawal and drainage of films

O'Brien, SBG

(1988)
Time dependent withdrawal and drainage of films

A moving boundary in porous flow

O'Brien, SBG

(1987)
A moving boundary in porous flow

An analytical solution to a free boundary problem

O'Brien, SBG

(1987)
An analytical solution to a free boundary problem