Teaching Interests
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 Chapter
Thin Film Flows: Theory and Modeling.
O'Brien, SBG; Schwartz, LW
Encyclopedia of Surface and Colloid Science, Second Edition.
Explosive solutions in rimming flow.
Benilov, ES; Lacey, S; O'Brien, SBG
Mathematical Modelling and Analysis
Bioremediation in a porous medium with small bio-clogging.
Chapwanya, M; O'Brien, SBG
Mathematical Modelling and Analysis
A mathematical model for hammocking of a bandage on a limb
O'Brien, SBG; Casey, V
Progress in Industrial Mathematics 2002
Theory and modelling of thin liquid films.
O'Brien, SBG; Schwartz, LW
Encyclopedia of Surface and Colloid Science,
Models for flows over non-flat substrates
O'Brien, SBG; Hayes, M; Lammers, J
Trends in the application of mathematics to mechanics
The fluid profile of a gravity driven film over any small two dimensional object.
Hayes, MA;O'Brien, SBG; Lammers, JH
Advances in coating and drying of thin films Shaker Verlag
Capillary effects in thin films.
O'Brien, SBG
Progress in Industrial Mathematics, Teubner
Spin-coating over topography
Lammers, JA; O'Brien, SBG
Fluid Mechanics of coating processes, World Scientific
Effects of evaporation during spin-coating,
Lammers, JH; O'Brien, SBG
The mechanics of thin film coatings, World Scientific Press.
Drying flow in a thin film induced by the presence of alcohol vapour
O'Brien, SBG
Progress in Industrial and Applied Mathematics
Local effects in some non-linear evolution equations
O'Brien, SBG
Integration of theory and applications in applied mechanics
Surface tension and contact angle problems in industry
O'Brien, SBG
Contact Angle, Wettability and Adhesion
Anisotropic conduction in a polymeric material
van den Brule, BHAA; O'Brien, SBG
Proceedings of the British Society of Rheology, Edinburgh.
Conference Publication
ISSEC 2004
M. Chapwanya, S.B.G. O¿¿Brien
ISSEC 2004.
S. Lacey, E.S. Benilov, S.B.G. O¿¿Brien
PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2002
OBrien, SBG; Casey, V
ISSEC 2004
M. Robinson, S.B.G. O'Brien
British Applied Mathematics Colloquium
M. Chapwanya, S.B.G. O'Brien
ISSEC
M. Chapwanya, S.B.G. O¿Brien
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
ECMI 2002
S.B.G. O'Brien, V. Casey
IMS Meeting
S O¿Brien, V. Casey
Sensors & their applications XI, ISMCR 2001
V. Casey, M. Callaghan, S.B.G. O¿Brien
ISSEC 2001
D. Tocher, S.B.G. O¿Brien
ISSEC 2001
M. Hayes, S.B.G. O¿Brien
Presented at Sensors and their Applications XI conference
CASEY, V., CALLAGHAN, M., O'BRIEN, S. B. G.
Fourth Dublin Differential Equations Conference
M. Hayes, S. O¿Brien
Presented at the Summer Meeting 2001, Royal Academy of Medicine in Ireland, Biomedical Sciences
CASEY, V., CALLAGHAN, M., O'BRIEN, S. B. G.
IMS 2001
M. Hayes, S. O¿Brien
IMS 2000
S.B.G. O¿Brien, M. Hayes
IUTAM 2000
S.B.G. O¿Brien, M Hayes
STAMM 2000
S.B.G. O¿Brien, M Hayes
ECMI 2000
S.B.G. O'Brien, M. Hayes
ISSEC 2000
S.B.G. O¿Brien
IMS 2000
R. Fantoni, S.B.G. O'Brien
DIAS Easter Symposium
S.B.G. O¿Brien, M Hayes
Third European Coating Conference
S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers
I.M.S. meeting
S.B.G. O¿Brien with M.A. Hayes
Dublin Institute for Advanced Study Symposium
S.B.G. O¿Brien
Annual meeting of the Irish Mathematical Society
S.B.G. O'Brien
ECMI 98
S.B.G. O¿Brien
Irish Society for scientific and engineering computation
Fenton, B., & S.B.G. O¿Brien
Irish Mechanics Society Meeting
S.B.G. O¿Brien
D.I.T.
S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers
2nd International Conference on Coatings on Glass
S.B.G. O¿Brien with J.H. Lammers, & M.M.J. Decre
Irish Society for scientific and engineering computation
Jordan, C., & S.B.G. O¿Brien
ISSEC
S.B.G. O¿Brien
Irish Society for scientific and engineering computation
S.B.G. O¿Brien with C. Jordan
Dublin Institute for Advanced Studies Symposium
S.B.G. O¿Brien
Second European Coating Symposium
S.B.G. O¿Brien with M.A. Hayes & J.H. Lammers
Irish Society for scientific and engineering computation
S.B.G. O¿Brien with B. Fenton
Second European Coating Symposium
S.B.G. O¿Brien with J.H. Lammers & M. Decre
Irish Mechanics Society Meeting
S.B.G. O¿Brien
DIAS Easter meeting
S.B.G. O¿Brien
Irish Society for scientific and engineering computation
Jordan, C., & S.B.G. O¿Brien
Irish mechanics Society
S.B.G. O¿Brien
ECMI 1996 conference
S.B.G. O¿Brien
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
New Frontiers in industrial and Applied mathematics
S.B.G. O¿Brien
Annual meeting of the Irish Mathematical society
S.B.G. O¿Brien
Meeting of the Irish Mechanics society
S.B.G. O¿Brien
DIAS Christmas meeting
S.B.G. O¿Brien
A.I.Ch.E. meeting
S.B.G. O¿Brien
ECMI
S.B.G. O¿Brien
Irish Society for scientific and engineering computation
S.B.G. O¿Brien
DIAS Easter meeting
S.B.G. O¿Brien
Meeting of the Irish mechanics society
S.B.G. O¿Brien
Seventh ECMI conference
S.B.G. O¿Brien
Second national mechanics congress
S.B.G. O¿Brien
Proceedings sol-gel conference
S.B.G. O¿Brien
fifth ECMI conference
S.B.G. O¿Brien
British Applied Mathematics Colloquium
S.B.G. O¿Brien
Sixth European Conference for Mathematics in Industry (ECMI)
S.B.G. O¿Brien,
Second World Conference in Computational Mechanics
S.B.G. O'Brien
British Society of Rheology
S.B.G. O¿Brien
Other Journal
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
International Journal of Mathematical education in Science and Technology
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
International Journal of Mathematical Education in Science and Technology
DOI: 10.1080/0020739X.2012.662293
Other Publication
Modelling of flow on a tilted rotating substrate
O'Brien, SBG
Modelling of spinning with evaporation
O'Brien, SBG
Mathematical models for spin-coating
O'Brien, SBG
On the shape of a small liquid drop
O'Brien, SBG
Fluid interfaces near small axisymmetric objects
O'Brien, SBG
Time dependent withdrawal and drainage of films
O'Brien, SBG
A moving boundary in porous flow
O'Brien, SBG
An analytical solution to a free boundary problem
O'Brien, SBG
Peer Reviewed Journal
Temperature evolution in a partially submerged approximate cheese cylinder
V. Cregan, S.B.G. O'Brien, J. Charpin, K. Cronin.
Journal Of Food Engineering
DOI: 10.1016/j.jfoodeng.2012.10.022
Extended asymptotic solutions to the spin-coating model with small evaporation
Cregan, V,O'Brien, SBG
Applied Mathematics And Computation
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
Journal Of Food Engineering
DOI: 10.1016/j.jfoodeng.2012.10.022
On rimming flows with shocks
Benilov, ES,Lapin, VN,O'Brien, SBG
Journal Of Engineering Mathematics
DOI: 10.1007/s10665-011-9512-2
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
International Journal Of Mathematical Education In Science And Technology
DOI: 10.1080/0020739X.2012.662293
A simple model for multicomponent etching
Fowler, AC; Ward, JA; O'Brien, SBG
Journal Of Colloid And Interface Science
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
Siam Review
DOI: 10.1137/100794274
Acid polishing of lead glass
A.C. Fowler, J.A. Ward, S.B.G. O'Brien
Mathematics In Industry
DOI: 10.1186/2190-5983-1-1
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
Canadian Journal Of Chemical Engineering
DOI: 10.1002/cjce.20390
Modelling of particle motion in an internal re-circulatory fluidized bed
Cronin, K; Catak, M; Tellez-Medina, D; Cregan, V; O'Brien, S
Chemical Engineering Journal
DOI: 10.1016/j.cej.2010.03.008
A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging
Chapwanya, M; O'Brien, S; Williams, JF
Journal Of Computational And Applied Mathematics
DOI: 10.1016/j.cam.2010.01.024
THE SHAPE OF A SMALL LIQUID DROP ON A CONE AND PLATE RHEOMETER
Cregan, V; O'Brien, SBG; Mckee, S
Siam Journal On Applied Mathematics
DOI: 10.1137/090765201
Existence and stability of regularized shock solutions, with applications to rimming flows
Benilov, ES; Benilov, MS; O'Brien, SBG
Journal Of Engineering Mathematics
DOI: 10.1007/s10665-008-9227-1
Stability of regularized shock solutions, with applications to rimming flows
Benilov, ES; Benilov, MS; O'Brien, SBG
Journal Of Engineering Mathematics
Smoothing of roll wave shocks by surface tension
O'Brien S.B.G., Robinson M.
International Journal Of Pure And Applied Mathematics
Waves in Guinness
Robinson, M; Fowler, AC; Alexander, AJ; O'Brien, SBG
Physics Of Fluids
DOI: 10.1063/1.2929369
A note on spin coating with small evaporation.
O'Brien, SBG; Cregan, V
J. Colloid And Interface Science
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
Food And Bioproducts Processing
DOI: 10.1205/fbp07080
A note on spin-coating with small evaporation
Cregan, V; O'Brien, SBG
Journal Of Colloid And Interface Science
DOI: 10.1016/j.jcis.2007.05.019
Further self-interescting solutions of the pendant drop equations
O'Brien, SBG
Proceedings Royal Irish Academy, Section A
Does surface tension stabilize liquid films inside a rotating horizontal cylinder?
Benilov, ES; Kopteva, N; O'Brien, SBG
Quarterly Journal Of Mechanics And Applied Mathematics
DOI: 10.1093/qjmamj/hbi004
Corner and start-up singularities in porous flow
Chapwanya, M; O'Brien, SBG
Journal Of Computational And Applied Mathematics
DOI: 10.1016/j.cam.2004.07.010
A model for gravity driven flow of a thin liquid solid suspension with evaporation effects.
O'Brien, SBG; Hayes, MA
Zamp
A model for gravity driven flow of a thin liquid-solid solution with evaporation effects
Hayes, M; O'Brien, SBG
Zeitschrift Fur Angewandte Mathematik Und Physik
DOI: 10.1007/s00033-005-3098-3
Exploding solutions for three-dimensional rimming flows
Benilov, ES; Lacey, SM; O'Brien, SBG
Quarterly Journal Of Mechanics And Applied Mathematics
DOI: 10.1093/qjmam/hbi020
Inertial instability of a liquid film inside a rotating horizontal cylinder
Benilov, ES; O'Brien, SBG
Physics Of Fluids
DOI: 10.1063/1.1905964
Similarity solutions in groundwater flow.
O'Brien, SBG; Chapwanya, M
Journal Of Computational And Applied Mathematics
Spin-coating over a small sinusoidal topography
Hayes, M; O'Brien, SBG
Int. J. Mathematics & Mathematical Sciences
Asymptotics of self-intersecting loop solutions of the pendant drop equations
O'Brien, SBG
Zeitschrift Fur Angewandte Mathematik Und Mechanik
DOI: 10.1002/zamm.200310095
A mathematical model for hammocking of a bandage on a limb
O'Brien, SBG; Casey, V
Progress In Industrial Mathematics
Lithospheric failure on Venus
Fowler, AC; O'Brien, SBG
Proceedings Of The Royal Society Of London Series A-Mathematical Physical And Engineering Sciences
DOI: 10.1098/rspa.2002.1083
A new type of instability: explosive disturbances in a liquid film inside a rotating horizontal cylinder
Benilov, ES; O'Brien, SBG; Sazonov, IA
Journal Of Fluid Mechanics
DOI: 10.1017/S0022112003006633
A mechanism for linear instability in two-dimensional rimming flow
O'Brien, SBG
Quarterly Of Applied Mathematics
Linear stability of rimming flow
O'Brien, SBG
Quarterly Of Applied Mathematics
Asymptotics of a sequence of pendant drops
O'Brien, SBG
Siam Journal On Applied Mathematics
DOI: 10.1137/S0036139901384789
A mechanism for two dimensional instabilities in rimming flow.
O'Brien, SBG
Quarterly Of Applied Mathematics
Asymptotic and numerical solutions for a hammocking model
O'Brien, SBG; Casey, V
Quarterly Journal Of Mechanics And Applied Mathematics
DOI: 10.1093/qjmam/55.3.409
Numerical and asymptotic solutions for hammocking.
O'Brien, SBG; Casey, V
Quart. J. Mech. App. Math
A model for dip-coating of a two liquid mixture.
Hayes, M; O'Brien, SBG
Int. J. Mathematics & Mathematical Sciences
Pressure measurement under a bandage
Casey, V; O'Callaghan, M; O'Brien, SBG
Sensors and their Application
An investigation of the hammocking effect associated with interface pressure measurements using pneumatic tourniquet cuffs
Casey, V; Griffin, S; O'Brien, SBG
Medical Engineering & Physics
Evaporative and topographical effects in coating flows
O'Brien, SBG; Hayes, M
Mathematics In Industry
Evaporative and topographical effects in coating flows.
O'Brien, SBG; Hayes, M
Mathematics In Engineering And Industry
Green's function for flow over a small two dimensional topography
Hayes, M; O'Brien, SBG; Lammers, J
Physics Of Fluids
Small exponent asymptotics
Fowler, AC; Kember, G; O'Brien, SGB
Ima Journal Of Applied Mathematics
DOI: 10.1093/imamat/64.1.23
Exponential asymptotics with a small exponent
Kember, GC; Fowler, AC; Evans, JD; O'Brien, SBG
Quarterly Of Applied Mathematics
Matched asymptotic expansion calculation of the equilibrium shape of a hole in a thin liquid film
O'Brien, SBG
Quarterly Of Applied Mathematics
Asymptotics with small exponent in a model for ice-sheet surging
O'Brien, SBG; Gath, EG; Fowler, AC
Proceedings Royal Irish Academy, Section A
A model for the coating of cylindrical light bulbs.
O'Brien, SBG
Progress In Industrial Mathematics
The location of a shock in rimming flow
O'Brien, SBG; Gath, EG
Physics Of Fluids
DOI: 10.1063/1.869630
Asymptotics of a pinhole
OBrien, SBG
Journal Of Colloid And Interface Science
DOI: 10.1006/jcis.1997.4982
The meniscus near a small sphere and its relationship to line pinning of contact lines
OBrien, SBG
Journal Of Colloid And Interface Science
DOI: 10.1006/jcis.1996.0517
A mechanism for episodic subduction on Venus
Fowler, AC; OBrien, SBG
Journal Of Geophysical Research-Planets
DOI: 10.1029/95JE03261
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.
International Journal For Numerical Methods In Fluids
An implicit surface tension algorithm for surface tension dominated free and moving boundary problems.
Slikkerveer, PJ; van Lohuizen, EP; O'Brien, SBG
Numerical Methods In Fluids
NUMERICAL AND ASYMPTOTIC SOLUTIONS TO A MODEL FOR THE WATERPROOFING OF TELECOMMUNICATIONS CABLES
OBRIEN, SBG; SLIKKERVEER, PJ
International Journal Of Engineering Science
DOI: 10.1016/0020-7225(94)90039-6
Asymptotic solutions for double pendant and extended sessile drops
O'Brien, SBG
Quarterly Of Applied Mathematics
Using applied mathematics in industrial problems.
O'Brien, SBG
Bulletin Irish Mathematics Society
On Marangoni drying: non-linear waves in a thin film
O'Brien, SBG
Journal Of Fluid Mechanics
Surface tension and contact angle problems in industry. Journal of Adhesion Science and Technology
O'Brien, SBG
Journal Of Adhesion
On the shape of small sessile and pendant drops by singular perturbation techniques
O'Brien, SBG
Journal Of Fluid Mechanics
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
Journal Of Fluid Mechanics
A mathematical model for the cleansing of silicon substrates by fluid immersion
O'Brien, SBG; van den Brule, BHAA
J. Colloid And Interface Science
Anisotropic conduction of heat in a flowing polymeric material.
van den Brule, BHAA; O'Brien, SBG
Rheologica Acta
Particle removal by surface tension forces
O'Brien, SBG; Leenaars, AFM
Philips Journal Of Research
A moving boundary problem in porous flow
O'Brien, SBG; Dijksman, JF
Mathematics In Engineering And Industry