Personal profile

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 studiesMy 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 ProjectsMichael 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 ProjectsMichael 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. Interested in Postgraduate studiesGreen's function computation and photograph of disturbance in thin film flow over a point defect on a television screen. If you are interested in obtaining postgraduate qualifications (Ph.D, M.Sc.) by research in applied mathematics, feel free to contact me for an informal discussion. See also Waves in Guinness,

Teaching Interests

Some Past Exam PapersVector 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 NotesPerturbation methods MS4407 2017-1018. Vector Analysis MS4613 2017-2018. Vector Calculus by M. Corral.

Biography

My interests lie in mathematicalandnbsp;modellingandnbsp;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.andnbsp; I have research links with theandnbsp;mechanicsandnbsp;group (Dr. J. Lammers, Dr. P.Slikkerveer) at Philips Research Laboratoriesandnbsp;http://www.research.philips.com.andnbsp;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 Philipsandnbsp;in particularandnbsp;concentrating on the coating of television screens and CRTs. Philips Research provides great expertise both on the theoretical andandnbsp;experimental side and its uniformly high research standards have influenced me greatly. Indeed my approach to mathematicalandnbsp;modellingandnbsp;owes a lot to the Oxford Centre for Industrial and Applied Mathematics where I obtained a D.Phil. under the supervision of Alan Tayler.andnbsp; 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. andnbsp; 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 atandnbsp;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!

Expertise related to UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

  • SDG 3 - Good Health and Well-being
  • SDG 4 - Quality Education
  • SDG 6 - Clean Water and Sanitation
  • SDG 7 - Affordable and Clean Energy
  • SDG 9 - Industry, Innovation, and Infrastructure
  • SDG 12 - Responsible Consumption and Production
  • SDG 15 - Life on Land

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