Stephen O'Brien

Professor

 
researcher

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.
 
 

Book Chapters

  Year Publication
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. [Details]
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. [Details]
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. [Details]
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. [Details]
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. [Details]
1997 'Capillary effects in thin films'
O'Brien, SBG (1997) 'Capillary effects in thin films' In: Progress in Industrial Mathematics, Teubner. [Details]
1997 'Spin-coating over topography'
Lammers, JA; O'Brien, SBG (1997) 'Spin-coating over topography' In: Fluid Mechanics of coating processes, World Scientific. [Details]
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. [Details]
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. [Details]
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. [Details]
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. [Details]
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. [Details]
2005 'Explosive solutions in rimming flow'
Benilov, ES; Lacey, S; O'Brien, SBG (2005) 'Explosive solutions in rimming flow' In: Mathematical Modelling and Analysis. [Details]
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. [Details]

Peer Reviewed Journals

  Year Publication
1989 'A moving boundary problem in porous flow'
O'Brien, SBG; Dijksman, JF (1989) 'A moving boundary problem in porous flow'. MATHEMATICS IN ENGINEERING AND INDUSTRY, 2 (2) [Details]
1989 'Particle removal by surface tension forces'
O'Brien, SBG; Leenaars, AFM (1989) 'Particle removal by surface tension forces'. PHILIPS JOURNAL OF RESEARCH, 44 (*):183-209 [Details]
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'. RHEOLOGICA ACTA, 29 (6):580-590 [Details]
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'. JOURNAL OF FLUID MECHANICS, 87 (*):1579-1583 [Details]
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'. J. COLLOID AND INTERFACE SCIENCE, 144 (1):210-221 [Details]
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'. JOURNAL OF FLUID MECHANICS, 233 (*):519-537 [Details]
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'. JOURNAL OF ADHESION, 6 (9):1037-1051 [Details]
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'. JOURNAL OF FLUID MECHANICS, 254 (*):649-670 [Details]
1994 'Using applied mathematics in industrial problems'
O'Brien, SBG (1994) 'Using applied mathematics in industrial problems'. BULLETIN IRISH MATHEMATICS SOCIETY, 33 (*):22-34 [Details]
1994 'Asymptotic solutions for double pendant and extended sessile drops'
O'Brien, SBG (1994) 'Asymptotic solutions for double pendant and extended sessile drops'. QUARTERLY OF APPLIED MATHEMATICS, LII (1):43-48 [Details]
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'. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 32 (8):1283-1301 [DOI] [Details]
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'. NUMERICAL METHODS IN FLUIDS, 22 (9):851-868 [Details]
1996 'A mechanism for episodic subduction on Venus'
Fowler, AC; OBrien, SBG (1996) 'A mechanism for episodic subduction on Venus'. JOURNAL OF GEOPHYSICAL RESEARCH-PLANETS, 101 (E2):4755-4763 [DOI] [Details]
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'. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 183 (1):51-56 [DOI] [Details]
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'. International Journal for Numerical Methods in Fluids, 22 (9):851-865 [Details]
1997 'Asymptotics of a pinhole'
OBrien, SBG (1997) 'Asymptotics of a pinhole'. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 191 (2):514-516 [DOI] [Details]
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'. PROCEEDINGS ROYAL IRISH ACADEMY, SECTION A, 98A (1):67-80 [Details]
1998 'The location of a shock in rimming flow'
O'Brien, SBG; Gath, EG (1998) 'The location of a shock in rimming flow'. PHYSICS OF FLUIDS, 10 (4):1040-1042 [DOI] [Details]
1998 'A model for the coating of cylindrical light bulbs'
O'Brien, SBG (1998) 'A model for the coating of cylindrical light bulbs'. PROGRESS IN INDUSTRIAL MATHEMATICS, * (*):46-55 [Details]
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'. QUARTERLY OF APPLIED MATHEMATICS, 57 (3):453-464 [Details]
2000 'Small exponent asymptotics'
Fowler, AC; Kember, G; O'Brien, SGB (2000) 'Small exponent asymptotics'. IMA JOURNAL OF APPLIED MATHEMATICS, 64 (1):23-38 [DOI] [Details]
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'. PHYSICS OF FLUIDS, 12 (11):2845-2858 [DOI] [Details]
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'. PHYSICS OF FLUIDS, 12 (*):2845-2861 [Details]
2000 'Exponential asymptotics with a small exponent'
Kember, GC; Fowler, AC; Evans, JD; O'Brien, SBG (2000) 'Exponential asymptotics with a small exponent'. QUARTERLY OF APPLIED MATHEMATICS, 58 (3):561-576 [Details]
2001 'Pressure measurement under a bandage'
Casey, V; O'Callaghan, M; O'Brien, SBG (2001) 'Pressure measurement under a bandage'. Sensors and their Application, :88-94 [Details]
2001 'Evaporative and topographical effects in coating flows'
O'Brien, SBG; Hayes, M (2001) 'Evaporative and topographical effects in coating flows'. MATHEMATICS IN ENGINEERING AND INDUSTRY, * (*) [Details]
2001 'Evaporative and topographical effects in coating flows'
O'Brien, SBG; Hayes, M (2001) 'Evaporative and topographical effects in coating flows'. MATHEMATICS IN INDUSTRY, * (*) [Details]
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'. MEDICAL ENGINEERING & PHYSICS, 23 (7):511-517 [Details]
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'. QUARTERLY OF APPLIED MATHEMATICS, 60 (2):283-299 [Details]
2002 'A mechanism for two dimensional instabilities in rimming flow'
O'Brien, SBG (2002) 'A mechanism for two dimensional instabilities in rimming flow'. QUARTERLY OF APPLIED MATHEMATICS, 60 (*):283-300 [Details]
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'. INT. J. MATHEMATICS & MATHEMATICAL SCIENCES, 29 (*):313-325 [Details]
2002 'Asymptotic and numerical solutions for a hammocking model'
O'Brien, SBG; Casey, V (2002) 'Asymptotic and numerical solutions for a hammocking model'. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 55 :409-420 [DOI] [Details]
2002 'Asymptotics of a sequence of pendant drops'
O'Brien, SBG (2002) 'Asymptotics of a sequence of pendant drops'. SIAM JOURNAL ON APPLIED MATHEMATICS, 62 (5):1569-1580 [DOI] [Details]
2002 'Numerical and asymptotic solutions for hammocking'
O'Brien, SBG; Casey, V (2002) 'Numerical and asymptotic solutions for hammocking'. QUART. J. MECH. APP. MATH, 55 (*):409-420 [Details]
2002 'Linear stability of rimming flow'
O'Brien, SBG (2002) 'Linear stability of rimming flow'. QUARTERLY OF APPLIED MATHEMATICS, 60 (2):201-211 [Details]
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'. JOURNAL OF FLUID MECHANICS, 497 :201-224 [DOI] [Details]
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'. PROGRESS IN INDUSTRIAL MATHEMATICS, * (*):340-345 [Details]
2003 'Lithospheric failure on Venus'
Fowler, AC; O'Brien, SBG (2003) 'Lithospheric failure on Venus'. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 459 (2039):2663-2704 [DOI] [Details]
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'. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 84 (3):158-170 [DOI] [Details]
2004 'Spin-coating over a small sinusoidal topography'
Hayes, M; O'Brien, SBG (2004) 'Spin-coating over a small sinusoidal topography'. INT. J. MATHEMATICS & MATHEMATICAL SCIENCES, 43 (*):2279-2298 [Details]
2004 'Similarity solutions in groundwater flow'
O'Brien, SBG; Chapwanya, M (2004) 'Similarity solutions in groundwater flow'. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 176 (1):163-177 [Details]
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'. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 56 (5):852-873 [DOI] [Details]
2005 'Exploding solutions for three-dimensional rimming flows'
Benilov, ES; Lacey, SM; O'Brien, SBG (2005) 'Exploding solutions for three-dimensional rimming flows'. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 58 :563-576 [DOI] [Details]
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'. ZAMP, 56 (*):1-22 [Details]
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?'. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 58 :185-200 [DOI] [Details]
2005 'Corner and start-up singularities in porous flow'
Chapwanya, M; O'Brien, SBG (2005) 'Corner and start-up singularities in porous flow'. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 176 (1):163-177 [DOI] [Details]
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'. PHYSICS OF FLUIDS, 17 (5) [DOI] [Details]
2006 'Further self-interescting solutions of the pendant drop equations'
O'Brien, SBG (2006) 'Further self-interescting solutions of the pendant drop equations'. PROCEEDINGS ROYAL IRISH ACADEMY, SECTION A, 106A (*):63-84 [Details]
2007 'A note on spin coating with small evaporation'
O'Brien, SBG; Cregan, V (2007) 'A note on spin coating with small evaporation'. J. COLLOID AND INTERFACE SCIENCE, 314 :324-328 [Details]
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'. FOOD AND BIOPRODUCTS PROCESSING, 85 (C4):344-353 [DOI] [Details]
2007 'A note on spin-coating with small evaporation'
Cregan, V; O'Brien, SBG (2007) 'A note on spin-coating with small evaporation'. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 314 (1):324-328 [DOI] [Details]
2008 'Waves in Guinness'
Robinson, M; Fowler, AC; Alexander, AJ; O'Brien, SBG (2008) 'Waves in Guinness'. PHYSICS OF FLUIDS, 20 (6) [DOI] [ULIR Link] [Details]
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'. Psychiatric Bulletin, 32 (5):183-186 [DOI] [Details]
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'. International Journal of Pure and Applied Mathematics, 50 (2):151-156 [Details]
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'. JOURNAL OF ENGINEERING MATHEMATICS, 63 (2-4):197-212 [Details]
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'. JOURNAL OF ENGINEERING MATHEMATICS, 63 (2-4):197-212 [DOI] [Details]
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'. Psychiatric Bulletin, 33 (5):172-175 [DOI] [Details]
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'. SIAM JOURNAL ON APPLIED MATHEMATICS, 70 (6):2075-2096 [DOI] [Details]
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'. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 234 (9):2709-2723 [DOI] [Details]
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'. CHEMICAL ENGINEERING JOURNAL, 164 (1-4):393-402 [DOI] [Details]
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'. CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 89 (1):92-100 [DOI] [Details]
2011 'Acid polishing of lead glass'
A.C. Fowler, J.A. Ward, S.B.G. O’Brien (2011) 'Acid polishing of lead glass'. Mathematics In Industry, 1 (1):1-19 [DOI] [Details]
2011 'A simple model for multicomponent etching'
Fowler, AC; Ward, JA; O'Brien, SBG (2011) 'A simple model for multicomponent etching'. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 354 (1):421-423 [DOI] [Details]
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'. Siam Review, 53 :775-796 [DOI] [Details]
2012 'On rimming flows with shocks'
Benilov, ES,Lapin, VN,O'Brien, SBG (2012) 'On rimming flows with shocks'. Journal Of Engineering Mathematics, 75 :49-62 [DOI] [Details]
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'. Applied Mathematics And Computation, :376-388 [DOI] [Details]
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'. International Journal Of Mathematical Education In Science And Technology, 43 (7):863-880 [DOI] [Details]
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'. Journal Of Food Engineering, 115 (3):398-406 [DOI] [Details]
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'. Journal Of Food Engineering, 115 :398-406 [DOI] [Details]
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'. Applied Mathematics And Computation, 223 :76-87 [DOI] [Details]

Other Journals

  Year Publication
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' International Journal of Mathematical education in Science and Technology, 43 (7) :863-880. [DOI] [Details]
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' International Journal of Mathematical Education in Science and Technology, 43 (7) :863-880. [DOI] [Details]

Conference Publications

  Year Publication
1990 Second World Conference in Computational Mechanics
S.B.G. O'Brien (1990) A numerical model for cleansing in the microprocessor industry . In: * eds. Second World Conference in Computational Mechanics , 01-JAN-90 - 30-DEC-99 , pp.*-* [Details]
1990 British Society of Rheology
S.B.G. OżBrien (1990) Heat flow in a flowing polymer . In: * eds. British Society of Rheology , 01-JAN-90 - 30-DEC-99 , pp.*-* [Details]
1991 Sixth European Conference for Mathematics in Industry (ECMI)
S.B.G. OżBrien, (1991) Small drops, surface tension and contact angle . In: * eds. Sixth European Conference for Mathematics in Industry (ECMI) , 06-MAY-91 - 30-DEC-99 , pp.229-232 [Details]
1991 fifth ECMI conference
S.B.G. OżBrien (1991) Small drops, surface tension and contact angle . In: * eds. fifth ECMI conference , 01-JAN-91 - 30-DEC-99 , pp.*-* [Details]
1991 British Applied Mathematics Colloquium
S.B.G. OżBrien (1991) A mathematical model for cleansing using surface tension forces . In: * eds. British Applied Mathematics Colloquium , 01-JAN-91 - 30-DEC-99 , pp.*-* [Details]
1992 Second national mechanics congress
S.B.G. OżBrien (1992) Local effects in thin film evolution equations . In: * eds. Second national mechanics congress , 01-NOV-92 - 30-DEC-99 , pp.*-* [Details]
1992 Proceedings sol-gel conference
S.B.G. OżBrien (1992) Sol-gel applications in the electronics industry . In: * eds. Proceedings sol-gel conference , 01-DEC-92 - 30-DEC-99 , pp.*-* [Details]
1992 A.I.Ch.E. International Symposium and Exposition on Coating Process Science and Technology
S.B.G. OżBrien (1992) Surface tension driven flow in a thin film and its relationship to Marangoni drying . In: * eds. A.I.Ch.E. International Symposium and Exposition on Coating Process Science and Technology , 01-MAR-92 - 30-DEC-99 , pp.*-* [Details]
1992 Symposium in honour of Prof. R. Good on contact angle, wettability and adhesion
S.B.G. OżBrien (1992) Some surface tension and contact angle problems in Industry . In: * eds. Symposium in honour of Prof. R. Good on contact angle, wettability and adhesion , 01-APR-92 - 30-DEC-99 , pp.*-* [Details]
1993 Seventh ECMI conference
S.B.G. OżBrien (1993) A variational inequality formulation to a porous flow problem . In: * eds. Seventh ECMI conference , 01-MAR-93 - 30-DEC-99 , pp.*-* [Details]
1993 Meeting of the Irish mechanics society
S.B.G. OżBrien (1993) An industrial drying problem . In: * eds. Meeting of the Irish mechanics society , 01-JAN-93 - 30-DEC-99 , pp.*-* [Details]
1993 Burgersdag Symposium on Stromingsleer in de industrie (Fluid mechanics in industry)
S.B.G. OżBrien (1993) Some free boundary problems from industry . In: * eds. Burgersdag Symposium on Stromingsleer in de industrie (Fluid mechanics in industry) , 01-JAN-93 - 30-DEC-99 , pp.*-* [Details]
1994 DIAS Easter meeting
S.B.G. OżBrien (1994) Cleansing of silicon substrates by fluid immersion . In: * eds. DIAS Easter meeting , 01-JAN-94 - 30-DEC-99 , pp.*-* [Details]
1994 DIAS Christmas meeting
S.B.G. OżBrien (1994) Asymptotic and numerical solutions to a model for the waterproofing of telecommunications cables . In: * eds. DIAS Christmas meeting , 01-DEC-94 - 30-DEC-99 , pp.*-* [Details]
1994 Irish Society for scientific and engineering computation
S.B.G. OżBrien (1994) An industrial cleaning problem . In: * eds. Irish Society for scientific and engineering computation , 01-JAN-94 - 30-DEC-99 , pp.*-* [Details]
1994 A.I.Ch.E. meeting
S.B.G. OżBrien (1994) Spin-coating of oxidic layers on 27ż CRT screens to form an antireflection coating . In: * eds. A.I.Ch.E. meeting , 01-APR-94 - 30-DEC-99 , pp.*-* [Details]
1994 ECMI
S.B.G. OżBrien (1994) Drying flow in thin liquid films . In: * eds. ECMI , 01-JAN-94 - 30-DEC-99 , pp.*-* [Details]
1995 Meeting of the Irish Mechanics society
S.B.G. OżBrien (1995) Flow in a porous medium . In: * eds. Meeting of the Irish Mechanics society , 01-JAN-95 - 30-DEC-99 , pp.*-* [Details]
1995 Annual meeting of the Irish Mathematical society
S.B.G. OżBrien (1995) Modelling pinholing and line-pinning . In: * eds. Annual meeting of the Irish Mathematical society , 19-JAN-95 - 30-DEC-99 , pp.*-* [Details]
1995 New Frontiers in industrial and Applied mathematics
S.B.G. OżBrien (1995) Modelling of some industrial thin film flows . In: * eds. New Frontiers in industrial and Applied mathematics , 01-JAN-95 - 30-DEC-99 , pp.*-* [Details]
1996 Irish mechanics Society
S.B.G. OżBrien (1996) Aspects of Mathematical Modelling of spin-coating . In: * eds. Irish mechanics Society , 01-JAN-96 - 30-DEC-99 , pp.*-* [Details]
1996 8th international symposium on coating process science and technology, A.I.Ch.E. Spring meeting
S.B.G. OżBrien with J.H. Lammers and M.N.M. Beerens (1996) Analytic solutions for evaporation during spin-coating . In: * eds. 8th international symposium on coating process science and technology, A.I.Ch.E. Spring meeting , 01-JAN-96 - 30-DEC-99 , pp.*-* [Details]
1996 ECMI 1996 conference
S.B.G. OżBrien (1996) Capillary effects in thin films . In: * eds. ECMI 1996 conference , 01-JAN-96 - 30-DEC-99 , pp.*-* [Details]
1997 Irish Society for scientific and engineering computation
Jordan, C., & S.B.G. OżBrien (1997) Modelling of fluid/gas interfaces . In: * eds. Irish Society for scientific and engineering computation , 01-JAN-97 - 30-DEC-99 , pp.*-* [Details]
1997 Second European Coating Symposium
S.B.G. OżBrien with J.H. Lammers & M. Decre (1997) Spin-coating over topography . In: * eds. Second European Coating Symposium , 01-JUL-97 - 30-DEC-99 , pp.*-* [Details]
1997 Irish Society for scientific and engineering computation
Jordan, C., & S.B.G. OżBrien (1997) Modelling of fluid/gas interfaces . In: * eds. Irish Society for scientific and engineering computation , 01-JAN-97 - 30-DEC-99 , pp.*-* [Details]
1997 ISSEC
S.B.G. OżBrien (1997) Flow instabilities in thin films . In: * eds. ISSEC , 01-JUN-97 - 30-DEC-99 , pp.*-* [Details]
1997 DIAS Easter meeting
S.B.G. OżBrien (1997) Hysteresis in line-pinning . In: * eds. DIAS Easter meeting , 01-JAN-97 - 30-DEC-99 , pp.*-* [Details]
1997 Irish Society for scientific and engineering computation
S.B.G. OżBrien with B. Fenton (1997) Modelling Marangoni drying . In: * eds. Irish Society for scientific and engineering computation , 01-JAN-97 - 30-DEC-99 , pp.*-* [Details]
1997 Irish Society for scientific and engineering computation
S.B.G. OżBrien with C. Jordan (1997) Modelling of fluid/gas interfaces . In: * eds. Irish Society for scientific and engineering computation , 01-JAN-97 - 30-DEC-99 , pp.*-* [Details]
1997 Irish Mechanics Society Meeting
S.B.G. OżBrien (1997) Examples of perturbation problems . In: * eds. Irish Mechanics Society Meeting , 01-JUN-97 - 30-DEC-99 , pp.*-* [Details]
1997 Second European Coating Symposium
S.B.G. OżBrien with M.A. Hayes & J.H. Lammers (1997) The coating profile in front of a step resulting after spin-coating . In: * eds. Second European Coating Symposium , 01-JUL-97 - 30-DEC-99 , pp.*-* [Details]
1997 Dublin Institute for Advanced Studies Symposium
S.B.G. OżBrien (1997) Flow in a rotating cylinder . In: * eds. Dublin Institute for Advanced Studies Symposium , 01-DEC-97 - 30-DEC-99 , pp.*-* [Details]
1998 Annual meeting of the Irish Mathematical Society
S.B.G. O'Brien (1998) Industrial flow problems . In: * eds. Annual meeting of the Irish Mathematical Society , 01-JAN-98 - 30-DEC-99 , pp.*-* [Details]
1998 Dublin Institute for Advanced Study Symposium
S.B.G. OżBrien (1998) A model for the coating of cylindrical light-bulbs . In: * eds. Dublin Institute for Advanced Study Symposium , 01-DEC-98 - 30-DEC-99 , pp.*-* [Details]
1998 ECMI 98
S.B.G. OżBrien (1998) Mathematical modelling of rimming flow . In: * eds. ECMI 98 , 01-JUN-98 - 30-DEC-99 , pp.*-* [Details]
1998 Irish Society for scientific and engineering computation
Fenton, B., & S.B.G. OżBrien (1998) Modelling Marangoni drying . In: * eds. Irish Society for scientific and engineering computation , 01-JAN-98 - 30-DEC-99 , pp.*-* [Details]
1998 Irish Mechanics Society Meeting
S.B.G. OżBrien (1998) Instabilities in thin film flow . In: * eds. Irish Mechanics Society Meeting , 01-JAN-98 - 30-DEC-99 , pp.*-* [Details]
1998 D.I.T
S.B.G. OżBrien with M.A. Hayes & J.H. Lammers (1998) The coating profile on a finite substrate after dip-coating . In: * eds. D.I.T , 01-JAN-98 - 30-DEC-99 , pp.*-* [Details]
1998 2nd International Conference on Coatings on Glass
S.B.G. OżBrien with J.H. Lammers, & M.M.J. Decre (1998) Spin-coating over topography . In: * eds. 2nd International Conference on Coatings on Glass , 06-SEP-98 - 10-SEP-98 , pp.*-* [Details]
1999 I.M.S. meeting
S.B.G. OżBrien with M.A. Hayes (1999) The coating profile in front of a step . In: * eds. I.M.S. meeting , 01-JAN-99 - 30-DEC-99 , pp.*-* [Details]
1999 Third European Coating Conference
S.B.G. OżBrien with M.A. Hayes & J.H. Lammers (1999) The fluid profile of a gravity driven film over any small two dimensional object . In: * eds. Third European Coating Conference , 01-SEP-99 - 30-DEC-99 , pp.*-* [Details]
2000 STAMM 2000
S.B.G. OżBrien, M Hayes (2000) Models for flows over topography . In: * eds. STAMM 2000 , 01-JAN-00 - 30-DEC-99 , pp.*-* [Details]
2000 ISSEC 2000
S.B.G. OżBrien (2000) The shape of a sequence of pendant drops . In: * eds. ISSEC 2000 , 01-JAN-00 - 30-DEC-99 , pp.*-* [Details]
2000 DIAS Easter Symposium
S.B.G. OżBrien, M Hayes (2000) Thin film flow over features . In: * eds. DIAS Easter Symposium , 01-JAN-00 - 30-DEC-99 , pp.*-* [Details]
2000 IUTAM 2000
S.B.G. OżBrien, M Hayes (2000) Coating of substrates with small imperfections . In: * eds. IUTAM 2000 , 01-JAN-00 - 30-DEC-99 , pp.*-* [Details]
2000 IMS 2000
S.B.G. OżBrien, M. Hayes (2000) Models for spin-coating . In: * eds. IMS 2000 , 01-JAN-00 - 30-DEC-99 , pp.*-* [Details]
2000 IMS 2000
R. Fantoni, S.B.G. O'Brien (2000) Pore clogging in bioremediation . In: * eds. IMS 2000 , 01-JAN-00 - 30-DEC-99 , pp.*-* [Details]
2000 ECMI 2000
S.B.G. O'Brien, M. Hayes (2000) Flow over non-flat substrates . In: * eds. ECMI 2000 , 01-JAN-00 - 30-DEC-99 , pp.*-* [Details]
2001 Presented at Sensors and their Applications XI conference
CASEY, V., CALLAGHAN, M., O'BRIEN, S. B. G. (2001) żInterface Pressure Measurement under an Elastocrepe Bandage: A Simple Model for the Hammocking Effectż, pp 89 - 94, Sensors and their Applications XI, Institute of Physics Series on Sensors, Ed . In: * eds. Presented at Sensors and their Applications XI conference , 01-SEP-01 - 30-DEC-99 , pp.*-* [Details]
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) The Law of Laplace and its use for the Estimation of Interface Pressures in Compression Therapy . In: * eds. Presented at the Summer Meeting 2001, Royal Academy of Medicine in Ireland, Biomedical Sciences , 01-JUN-01 - 30-DEC-99 , pp.*-* [Details]
2001 ISSEC 2001
M. Hayes, S.B.G. OżBrien (2001) Spin-coating over a small sinusoidal topography . In: * eds. ISSEC 2001 , 01-JAN-01 - 30-DEC-99 , pp.*-* [Details]
2001 Sensors & their applications XI, ISMCR 2001
V. Casey, M. Callaghan, S.B.G. OżBrien (2001) Interface pressure measurement under an elastocrep bandage: a simple model for hammocking . In: * eds. Sensors & their applications XI, ISMCR 2001 , 01-JAN-01 - 30-DEC-99 , pp.*-* [Details]
2001 Fourth Dublin Differential Equations Conference
M. Hayes, S. OżBrien (2001) A model for flow over a sinusoidal topography . In: * eds. Fourth Dublin Differential Equations Conference , 01-SEP-01 - 30-DEC-99 , pp.*-* [Details]
2001 IMS 2001
M. Hayes, S. OżBrien (2001) Analytic solutions for flow over a small sinusoidal topography . In: * eds. IMS 2001 , 01-JAN-01 - 30-DEC-99 , pp.*-* [Details]
2001 IMS Meeting
S OżBrien, V. Casey (2001) Hammocking of a bandage on a limb caused by a sensor . In: * eds. IMS Meeting , 01-JAN-01 - 30-DEC-99 , pp.*-* [Details]
2001 ISSEC 2001
D. Tocher, S.B.G. OżBrien (2001) A mathematical model for a wind-vane steering system . In: * eds. ISSEC 2001 , 01-JAN-01 - 30-DEC-99 , pp.*-* [Details]
2002 ECMI 2002
S.B.G. O'Brien, V. Casey (2002) Asymptotics of hammocking . In: * eds. ECMI 2002 , 02-SEP-02 - 30-DEC-99 , pp.*-* [Details]
2002 ISSEC
M. Chapwanya, S.B.G. OżBrien (2002) Bioremediation in a porous medium . In: * eds. ISSEC , 01-JAN-02 - 30-DEC-99 , pp.*-* [Details]
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) Non-Invasive Sensing of Biomedical Interface Pressures: Hammocking Effect Models . In: D.P. Fitzpatrick, B. A. O. McCormack and G. R. Dickson eds. Bioengineering in Ireland (8), and, The 16th Meeting of the Northern Ireland Biomedical Engineering Society, joint conference , 26-JAN-02 - 27-JAN-02 , pp.*-* [Details]
2004 British Applied Mathematics Colloquium
M. Chapwanya, S.B.G. O'Brien (2004) Modelling mushy layers in bioremediation processes . In: * eds. British Applied Mathematics Colloquium , 02-APR-04 - 30-DEC-99 , pp.*-* [Details]
2004 ISSEC 2004
S. Lacey, E.S. Benilov, S.B.G. OżżBrien (2004) Model for rimming flows . In: * eds. ISSEC 2004 , 01-JAN-04 - 30-DEC-99 , pp.*-* [Details]
2004 ISSEC 2004
M. Chapwanya, S.B.G. OżżBrien (2004) Contaminant movement in a freezing porous medium . In: * eds. ISSEC 2004 , 01-JAN-04 - 30-DEC-99 , pp.*-* [Details]
2004 ISSEC 2004
M. Robinson, S.B.G. O'Brien (2004) On roll waves . In: * eds. ISSEC 2004 , 02-JAN-04 - 30-DEC-99 , pp.*-* [Details]
2004 PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2002
OBrien, SBG; Casey, V (2004) A mathematical model for hammocking of a bandage on a limb PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2002 , pp.341-345 [Details]

Professional Associations

  Association Function From / To
The European Consortium for Mathematics in Industry (ECMI) President (2014-2015) /