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Prof. Stephen O'Brien

Biography

My interests lie in mathematical modelling of physical and industrial processes generally using asymptotic and numerical techniques. The emphasis is placed on trying to understand the process rather than applying mathematics for its own sake.

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)


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.

Professional Activities

Association

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

Publications

Book Chapters

2006

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

2005

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

2005

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

2003

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

2001

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

2000

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

1999

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

1997

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

1997

Capillary effects in thin films.
O'Brien, SBG
(1997) Capillary effects in thin films.
In Progress in Industrial Mathematics, Teubner; pp. 408-416

1996

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

1996

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

1993

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-

1993

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;

1990

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

2013

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

2013

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

2013

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

2012

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

2012

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

2012

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

2011

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

2011

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

2011

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

2011

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

2010

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

2010

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

2010

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

2009

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

2009

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

2009

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

2009

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

2008

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

2008

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]

2007

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

2007

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

2007

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

2006

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

2005

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

2005

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

2005

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

2005

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

2005

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

2005

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

2004

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

2004

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

2004

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

2003

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

2003

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

2003

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

2002

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

2002

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

2002

Linear stability of rimming flow
O'Brien, SBG
(2002) Linear stability of rimming flow
In Quarterly Of Applied Mathematics; pp. 201-211

2002

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

2002

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

2002

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

2002

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

2001

Evaporative and topographical effects in coating flows
O'Brien, SBG; Hayes, M
(2001) Evaporative and topographical effects in coating flows
In Mathematics In Industry;

2001

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;

2001

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

2001

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

2000

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

2000

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

2000

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

2000

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

1999

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

1998

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

1998

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

1998

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

1997

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

1996

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

1996

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

1996

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

1995

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

1994

Using applied mathematics in industrial problems.
O'Brien, SBG
(1994) Using applied mathematics in industrial problems.
In Bulletin Irish Mathematics Society; pp. 22-34

1994

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

1994

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

1993

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

1992

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

1991

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

1991

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

1991

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

1990

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

1989

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

1989

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-

Other Journals

2012

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

2012

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

2004

ISSEC 2004
M. Chapwanya, S.B.G. O¿¿Brien
(2004) ISSEC 2004
*(Ed.) pp. *-*

2004

ISSEC 2004.
S. Lacey, E.S. Benilov, S.B.G. O¿¿Brien
(2004) ISSEC 2004.
*(Ed.) pp. *-*

2004

ISSEC 2004
M. Robinson, S.B.G. O'Brien
(2004) ISSEC 2004
*(Ed.) pp. *-*

2004

PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2002
OBrien, SBG; Casey, V
(2004) PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2002
pp. 341-345

2004

British Applied Mathematics Colloquium
M. Chapwanya, S.B.G. O'Brien
(2004) British Applied Mathematics Colloquium
*(Ed.) pp. *-*

2002

ECMI 2002
S.B.G. O'Brien, V. Casey
(2002) ECMI 2002
*(Ed.) pp. *-*

2002

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. *-*

2002

ISSEC
M. Chapwanya, S.B.G. O¿Brien
(2002) ISSEC
*(Ed.) pp. *-*

2001

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. *-*

2001

Fourth Dublin Differential Equations Conference
M. Hayes, S. O¿Brien
(2001) Fourth Dublin Differential Equations Conference
*(Ed.) pp. *-*

2001

IMS 2001
M. Hayes, S. O¿Brien
(2001) IMS 2001
*(Ed.) pp. *-*

2001

ISSEC 2001
M. Hayes, S.B.G. O¿Brien
(2001) ISSEC 2001
*(Ed.) pp. *-*

2001

IMS Meeting
S O¿Brien, V. Casey
(2001) IMS Meeting
*(Ed.) pp. *-*

2001

Sensors & their applications XI, ISMCR 2001
V. Casey, M. Callaghan, S.B.G. O¿Brien
(2001) Sensors & their applications XI, ISMCR 2001
*(Ed.) pp. *-*

2001

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. *-*

2001

ISSEC 2001
D. Tocher, S.B.G. O¿Brien
(2001) ISSEC 2001
*(Ed.) pp. *-*

2000

IUTAM 2000
S.B.G. O¿Brien, M Hayes
(2000) IUTAM 2000
*(Ed.) pp. *-*

2000

IMS 2000
R. Fantoni, S.B.G. O'Brien
(2000) IMS 2000
*(Ed.) pp. *-*

2000

ISSEC 2000
S.B.G. O¿Brien
(2000) ISSEC 2000
*(Ed.) pp. *-*

2000

IMS 2000
S.B.G. O¿Brien, M. Hayes
(2000) IMS 2000
*(Ed.) pp. *-*

2000

DIAS Easter Symposium
S.B.G. O¿Brien, M Hayes
(2000) DIAS Easter Symposium
*(Ed.) pp. *-*

2000

STAMM 2000
S.B.G. O¿Brien, M Hayes
(2000) STAMM 2000
*(Ed.) pp. *-*

2000

ECMI 2000
S.B.G. O'Brien, M. Hayes
(2000) ECMI 2000
*(Ed.) pp. *-*

1999

I.M.S. meeting
S.B.G. O¿Brien with M.A. Hayes
(1999) I.M.S. meeting
*(Ed.) pp. *-*

1999

Third European Coating Conference
S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers
(1999) Third European Coating Conference
*(Ed.) pp. *-*

1998

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. *-*

1998

Annual meeting of the Irish Mathematical Society
S.B.G. O'Brien
(1998) Annual meeting of the Irish Mathematical Society
*(Ed.) pp. *-*

1998

Dublin Institute for Advanced Study Symposium
S.B.G. O¿Brien
(1998) Dublin Institute for Advanced Study Symposium
*(Ed.) pp. *-*

1998

ECMI 98
S.B.G. O¿Brien
(1998) ECMI 98
*(Ed.) pp. *-*

1998

Irish Society for scientific and engineering computation
Fenton, B., & S.B.G. O¿Brien
(1998) Irish Society for scientific and engineering computation
*(Ed.) pp. *-*

1998

Irish Mechanics Society Meeting
S.B.G. O¿Brien
(1998) Irish Mechanics Society Meeting
*(Ed.) pp. *-*

1998

D.I.T.
S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers
(1998) D.I.T.
*(Ed.) pp. *-*

1997

Irish Society for scientific and engineering computation
Jordan, C., & S.B.G. O¿Brien
(1997) Irish Society for scientific and engineering computation
*(Ed.) pp. *-*

1997

Second European Coating Symposium
S.B.G. O¿Brien with J.H. Lammers & M. Decre
(1997) Second European Coating Symposium
*(Ed.) pp. *-*

1997

DIAS Easter meeting
S.B.G. O¿Brien
(1997) DIAS Easter meeting
*(Ed.) pp. *-*

1997

Second European Coating Symposium
S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers
(1997) Second European Coating Symposium
*(Ed.) pp. *-*

1997

Irish Society for scientific and engineering computation
Jordan, C., & S.B.G. O¿Brien
(1997) Irish Society for scientific and engineering computation
*(Ed.) pp. *-*

1997

Irish Mechanics Society Meeting
S.B.G. O¿Brien
(1997) Irish Mechanics Society Meeting
*(Ed.) pp. *-*

1997

ISSEC
S.B.G. O¿Brien
(1997) ISSEC
*(Ed.) pp. *-*

1997

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. *-*

1997

Dublin Institute for Advanced Studies Symposium
S.B.G. O¿Brien
(1997) Dublin Institute for Advanced Studies Symposium
*(Ed.) pp. *-*

1997

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. *-*

1996

Irish mechanics Society
S.B.G. O¿Brien
(1996) Irish mechanics Society
*(Ed.) pp. *-*

1996

ECMI 1996 conference
S.B.G. O¿Brien
(1996) ECMI 1996 conference
*(Ed.) pp. *-*

1996

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. *-*

1995

Annual meeting of the Irish Mathematical society
S.B.G. O¿Brien
(1995) Annual meeting of the Irish Mathematical society
*(Ed.) pp. *-*

1995

New Frontiers in industrial and Applied mathematics
S.B.G. O¿Brien
(1995) New Frontiers in industrial and Applied mathematics
*(Ed.) pp. *-*

1995

Meeting of the Irish Mechanics society
S.B.G. O¿Brien
(1995) Meeting of the Irish Mechanics society
*(Ed.) pp. *-*

1994

ECMI
S.B.G. O¿Brien
(1994) ECMI
*(Ed.) pp. *-*

1994

Irish Society for scientific and engineering computation
S.B.G. O¿Brien
(1994) Irish Society for scientific and engineering computation
*(Ed.) pp. *-*

1994

DIAS Easter meeting
S.B.G. O¿Brien
(1994) DIAS Easter meeting
*(Ed.) pp. *-*

1994

DIAS Christmas meeting
S.B.G. O¿Brien
(1994) DIAS Christmas meeting
*(Ed.) pp. *-*

1994

A.I.Ch.E. meeting
S.B.G. O¿Brien
(1994) A.I.Ch.E. meeting
*(Ed.) pp. *-*

1993

Meeting of the Irish mechanics society
S.B.G. O¿Brien
(1993) Meeting of the Irish mechanics society
*(Ed.) pp. *-*

1993

Seventh ECMI conference
S.B.G. O¿Brien
(1993) Seventh ECMI conference
*(Ed.) pp. *-*

1993

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. *-*

1992

Second national mechanics congress
S.B.G. O¿Brien
(1992) Second national mechanics congress
*(Ed.) pp. *-*

1992

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. *-*

1992

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. *-*

1992

Proceedings sol-gel conference
S.B.G. O¿Brien
(1992) Proceedings sol-gel conference
*(Ed.) pp. *-*

1991

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

1991

fifth ECMI conference
S.B.G. O¿Brien
(1991) fifth ECMI conference
*(Ed.) pp. *-*

1991

British Applied Mathematics Colloquium
S.B.G. O¿Brien
(1991) British Applied Mathematics Colloquium
*(Ed.) pp. *-*

1990

British Society of Rheology
S.B.G. O¿Brien
(1990) British Society of Rheology
*(Ed.) pp. *-*

1990

Second World Conference in Computational Mechanics
S.B.G. O'Brien
(1990) Second World Conference in Computational Mechanics
*(Ed.) pp. *-*

Other Items Published

1993

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

1993

Modelling of flow on a tilted rotating substrate
O'Brien, SBG
(1993) Modelling of flow on a tilted rotating substrate

1993

Modelling of spinning with evaporation
O'Brien, SBG
(1993) Modelling of spinning with evaporation

1992

Mathematical models for spin-coating
O'Brien, SBG
(1992) Mathematical models for spin-coating

1992

Flow on an axisymmetric rotating substrate with localised defect
O'Brien, SBG
(1992) Flow on an axisymmetric rotating substrate with localised defect

1990

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

1990

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

1990

On the shape of a small liquid drop
O'Brien, SBG
(1990) On the shape of a small liquid drop

1989

Fluid interfaces near small axisymmetric objects
O'Brien, SBG
(1989) Fluid interfaces near small axisymmetric objects

1988

Time dependent withdrawal and drainage of films
O'Brien, SBG
(1988) Time dependent withdrawal and drainage of films

1988

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.

1987

An analytical solution to a free boundary problem
O'Brien, SBG
(1987) An analytical solution to a free boundary problem

1987

A moving boundary in porous flow
O'Brien, SBG
(1987) A moving boundary in porous flow