Andrew Fowler

Research Professor MA, DPhil

 
researcher

Biography

I have been Stokes Professor at the University of Limerick since 2007. Before that I spent the bulk of my academic career at the University of Oxford, where I was a lecturer and tutorial Fellow of Corpus Christi College, Oxford. Corpus was actually my undergraduate and graduate college while at Oxford, and before going back there I spent time at Trinity College Dublin and M.I.T.

Research Interests

As an applied mathematician specialising in mathematical modelling, I consider myself prone to be interested in any problem which requires modelling, and that means almost any scientific problem at all. The main part of my research interests lies in mathematical geoscience, and stems from my doctoral research in glaciology: my thesis 'Glacier dynamics' was finished in 1977, back in the days before word processing, personal computers and the like, and I typed it on a typewriter with two keyboards, one Roman and one with Greek and mathematical symbols.

Since then I have become interested in many other areas of geophysics, geology, petrology, volcanology, as well as geomorphology and Earth surface processes in general.

 

The genuine applied mathematician is a multi-faceted creature, and I am no different. I have been interested in various parts of biology and physiology, and with a background in Oxford and a current post in MACSI, industrial problems also form a major part of my interests.

Peer Reviewed Journals

  Year Publication
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]
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]
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 '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]
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]
2006 'The formation of river channels'
Fowler, AC; Kopteva, N; Oakley, C (2006) 'The formation of river channels'. SIAM JOURNAL ON APPLIED MATHEMATICS, 67 :1016-1040 [DOI] [ULIR Link] [Details]
2008 'Partial melting in an upwelling mantle column'
Hewitt, IJ; Fowler, AC (2008) 'Partial melting in an upwelling mantle column'. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 464 (2097):2467-2491 [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 'Mathematical Analysis of a Model of River Channel Formation'
Diaz, JI; Fowler, AC; Munoz, AI; Schiavi, E (2008) 'Mathematical Analysis of a Model of River Channel Formation'. PURE AND APPLIED GEOPHYSICS, 165 (8):1663-1682 [DOI] [Details]
2008 'Network development in biological gels: Role in lymphatic vessel development'
Roose, T; Fowler, AC (2008) 'Network development in biological gels: Role in lymphatic vessel development'. BULLETIN OF MATHEMATICAL BIOLOGY, 70 (6):1772-1789 [DOI] [Details]
2008 'Seasonal waves on glaciers'
Hewitt, IJ; Fowler, AC (2008) 'Seasonal waves on glaciers'. HYDROLOGICAL PROCESSES, 22 (19):3919-3930 [DOI] [Details]
2009 'Melt channelization in ascending mantle'
Hewitt, IJ; Fowler, AC (2009) 'Melt channelization in ascending mantle'. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 114 [DOI] [Details]
2009 'Instability modelling of drumlin formation incorporating lee-side cavity growth'
Fowler, AC (2009) 'Instability modelling of drumlin formation incorporating lee-side cavity growth'. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 465 (2109):2681-2702 [DOI] [Details]
2009 'A dynamic model of annual foliage growth and carbon uptake in trees'
Fowler, AC; Clary, O; Roose, T (2009) 'A dynamic model of annual foliage growth and carbon uptake in trees'. JOURNAL OF THE ROYAL SOCIETY INTERFACE, 6 (40):1087-1096 [DOI] [Details]
2009 'Initiation of Guinness'
O'Sullivan, M; Power, O; Lee, W; Fowler, A; Dellar, P; O'Sullivan, M (2009) 'Initiation of Guinness'. MATHEMATICS IN INDUSTRY, 1 (1):1-38 [Details]
2009 'Dynamics of subglacial floods'
Fowler, AC (2009) 'Dynamics of subglacial floods'. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 465 (2106):1809-1828 [DOI] [Details]
2010 'The instability theory of drumlin formation applied to Newtonian viscous ice of finite depth'
Fowler, AC (2010) 'The instability theory of drumlin formation applied to Newtonian viscous ice of finite depth'. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 466 (2121):2673-2694 [DOI] [Details]
2010 'The formation of subglacial streams and mega-scale glacial lineations'
Fowler, AC (2010) 'The formation of subglacial streams and mega-scale glacial lineations'. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 466 (2123):3181-3201 [DOI] [Details]
2010 'THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS'
Zammett, RJ; Fowler, AC (2010) 'THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS'. SIAM JOURNAL ON APPLIED MATHEMATICS, 70 (7):2409-2433 [DOI] [ULIR Link] [Details]
2010 'A theoretical model of the explosive fragmentation of vesicular magma'
Fowler, AC; Scheu, B; Lee, WT; McGuinness, MJ (2010) 'A theoretical model of the explosive fragmentation of vesicular magma'. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 466 (2115):731-752 [DOI] [Details]
2010 'Temperature-dependent shear flow and the absence of thermal runaway in valley glaciers'
Fowler, AC; Toja, R; Vazquez, C (2010) 'Temperature-dependent shear flow and the absence of thermal runaway in valley glaciers'. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 466 (2114):363-382 [DOI] [Details]
2010 'Blowing of polycrystalline silicon fuses'
Lee, WT; Fowler, AC; Power, O; Healy, S; Browne, J (2010) 'Blowing of polycrystalline silicon fuses'. APPLIED PHYSICS LETTERS, 97 (2) [DOI] [ULIR Link] [Details]
2010 'Weertman, Lliboutry and the development of sliding theory'
Fowler, AC (2010) 'Weertman, Lliboutry and the development of sliding theory'. Journal Of Glaciology, 56 :965-972 [Details]
2011 'A polymer-solvent model of biofilm growth'
Winstanley, HF; Chapwanya, M; McGuinness, MJ; Fowler, AC (2011) 'A polymer-solvent model of biofilm growth'. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 (2129):1449-1467 [DOI] [Details]
2011 'A surge of North Gasherbrum Glacier, Karakoram, China'
Mayer, C; Fowler, AC; Lambrecht, A; Scharrer, K (2011) 'A surge of North Gasherbrum Glacier, Karakoram, China'. Journal Of Glaciology, 57 :904-916 [DOI] [Details]
2011 'A Model of Oscillatory Blood Cell Counts in Chronic Myelogenous Leukaemia'
Drobnjak, I,Fowler, AC (2011) 'A Model of Oscillatory Blood Cell Counts in Chronic Myelogenous Leukaemia'. Bulletin Of Mathematical Biology, 73 :2983-3007 [DOI] [Details]
2011 'Mathematical Geoscience'
Fowler, A (2011) 'Mathematical Geoscience'. Mathematical Geoscience, 36 [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 'A note on the derivation of the quasi-geostrophic potential vorticity equation'
Fowler, AC (2011) 'A note on the derivation of the quasi-geostrophic potential vorticity equation'. GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 105 (1-4):340-350 [DOI] [Details]
2011 'Numerical computations of a theoretical model of ribbed moraine formation'
Chapwanya, M; Clark, CD; Fowler, AC (2011) 'Numerical computations of a theoretical model of ribbed moraine formation'. EARTH SURFACE PROCESSES AND LANDFORMS, 36 (8):1105-1112 [DOI] [Details]
2011 'A Model of Oscillatory Blood Cell Counts in Chronic Myelogenous Leukaemia'
Drobnjak I., Fowler A.C. (2011) 'A Model of Oscillatory Blood Cell Counts in Chronic Myelogenous Leukaemia'. Bulletin of Mathematical Biology, 0 (0):1-25 [DOI] [Details]
2012 'Explosive fragmentation criteria and velocities for vesicular magma'
McGuinness, MJ,Scheu, B,Fowler, AC (2012) 'Explosive fragmentation criteria and velocities for vesicular magma'. Journal Of Volcanology And Geothermal Research, 237 :81-96 [DOI] [Details]
2013 'Stress balances of ice streams in a vertically integrated, higher-order formulation'
Kyrke-Smith, TM,Katz, RF,Fowler, AC (2013) 'Stress balances of ice streams in a vertically integrated, higher-order formulation'. Journal Of Glaciology, 59 :449-466 [DOI] [ULIR Link] [Details]
2013 'The motion of ice stream margins'
Fowler, AC (2013) 'The motion of ice stream margins'. Journal Of Fluid Mechanics, 714 :1-4 [DOI] [Details]
2013 'The instability theory of drumlin formation and its explanation of their varied composition and internal structure'
Stokes, CR,Fowler, AC,Clark, CD,Hindmarsh, RCA,Spagnolo, M (2013) 'The instability theory of drumlin formation and its explanation of their varied composition and internal structure'. Quaternary Science Reviews, 62 :77-96 [DOI] [Details]
2013 'Biomat Development in Soil Treatment Units for On-site Wastewater Treatment'
Winstanley, HF,Fowler, AC (2013) 'Biomat Development in Soil Treatment Units for On-site Wastewater Treatment'. Bulletin Of Mathematical Biology, 75 :1985-2001 [DOI] [Details]
2014 'Oscillations in soil bacterial redox reactions'
Fowler, AC,Winstanley, HF,McGuinness, MJ,Cribbin, LB (2014) 'Oscillations in soil bacterial redox reactions'. Journal Of Theoretical Biology, 342 :33-38 [DOI] [Details]
2014 'Respiratory Control and the Onset of Periodic Breathing'
Fowler, AC (2014) 'Respiratory Control and the Onset of Periodic Breathing'. Mathematical Modelling Of Natural Phenomena, 9 :39-57 [DOI] [Details]
2014 'Subglacial swamps'
Kyrke-Smith, TM,Fowler, AC (2014) 'Subglacial swamps'. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 470 [DOI] [Details]
2014 'Subglacial hydrology and the formation of ice streams'
Kyrke-Smith, TM,Katz, RF,Fowler, AC (2014) 'Subglacial hydrology and the formation of ice streams'. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 470 [DOI] [Details]
2014 'Modelling spatial oscillations in soil borehole bacteria'
McGuinness, MJ,Cribbin, LB,Winstanley, HF,Fowler, AC (2014) 'Modelling spatial oscillations in soil borehole bacteria'. Journal Of Theoretical Biology, 363 :74-79 [DOI] [Details]
2014 'An instability theory for the formation of ribbed moraine, drumlins and mega-scale glacial lineations'
Fowler, AC,Chapwanya, M (2014) 'An instability theory for the formation of ribbed moraine, drumlins and mega-scale glacial lineations'. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 470 [DOI] [Details]
2014 'Reaction front formation in contaminant plumes'
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC (2014) 'Reaction front formation in contaminant plumes'. Journal Of Contaminant Hydrology, 171 :12-21 [DOI] [Details]
2015 'Subglacial hydrology as a control on emergence, scale, and spacing of ice streams'
Kyrke-Smith, TM,Katz, RF,Fowler, AC (2015) 'Subglacial hydrology as a control on emergence, scale, and spacing of ice streams'. Journal Of Geophysical Research-Earth Surface, 120 :1501-1514 [DOI] [ULIR Link] [Details]
2015 'A 2D channel-clogging biofilm model'
Winstanley, HF,Chapwanya, M,Fowler, AC,O'Brien, SBG (2015) 'A 2D channel-clogging biofilm model'. Journal Of Mathematical Biology, 71 :647-668 [DOI] [Details]
2015 'Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts'
Khaleque, TS,Fowler, AC,Howell, PD,Vynnycky, M (2015) 'Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts'. Physics Of Fluids, 27 [DOI] [ULIR Link] [Details]
2015 'A Simple Thousand-Year Prognosis for Oceanic and Atmospheric Carbon Change'
Fowler, AC (2015) 'A Simple Thousand-Year Prognosis for Oceanic and Atmospheric Carbon Change'. Pure And Applied Geophysics, 172 :49-56 [DOI] [Details]
2015 'The formation of vesicular cylinders in pahoehoe lava flows'
Fowler, AC,Rust, AC,Vynnycky, M (2015) 'The formation of vesicular cylinders in pahoehoe lava flows'. Geophysical And Astrophysical Fluid Dynamics, 109 :39-61 [DOI] [Details]
2015 'Simple Approximations for Epidemics with Exponential and Fixed Infectious Periods'
Fowler, AC,Hollingsworth, TD (2015) 'Simple Approximations for Epidemics with Exponential and Fixed Infectious Periods'. Bulletin Of Mathematical Biology, 77 :1539-1555 [DOI] [Details]
2015 'Glacial melt under a porous debris layer'
Evatt, GW,Abrahams, ID,Heil, M,Mayer, C,Kingslake, J,Mitchell, SL,Fowler, AC,Clark, CD (2015) 'Glacial melt under a porous debris layer'. Journal Of Glaciology, 61 :825-836 [DOI] [Details]
2016 'Convection of a fluid with strongly temperature and pressure dependent viscosity'
Fowler, AC,Howell, PD,Khaleque, TS (2016) 'Convection of a fluid with strongly temperature and pressure dependent viscosity'. Geophysical And Astrophysical Fluid Dynamics, 110 :130-165 [DOI] [Details]

Conference Publications

  Year Publication
2009 NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Lee, W; Power, O; Fowler, A; Healey, S; Browne, J (2009) Blowing Polysilicon Fuses NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 , pp.1461-1464 [Details]
2009 AIP Conference Proceedings
Lee W., Power O., Fowler A., Healey S., Browne J. (2009) Blowing polysilicon fuses AIP Conference Proceedings , pp.1461-1464 [DOI] [Details]
2009 AIP Conference Proceedings
McGuinness M.J., Fowler A.C., Scheu B., Lee W.T. (2009) Exploding rocks AIP Conference Proceedings , pp.1442-1445 [DOI] [Details]
2010 75th European Study Group with Industry- Proceedings
Hewitt I., Lacey A., Mellgren N., Vynnycky, M., Robinson M., Cooker M., Fowler, A., Gonzalez, M., Simboek H., Murphy, T., Devereux, M., Sedakov R., Kirby G., Fay G., Wang Q., Adley CC (2010) Designing a Green Roof for Ireland 75th European Study Group with Industry- Proceedings [Details]
2011 Proceedings of the Seventy-Fifth European Study Group with Industry
Chapwanya, M; Cregan, V; Fowler, A; Lee, W; Meere, M; Vo, TTN; Rivas, JMB; O’Brien, SBG; Sedakov, R; Winstanley, H (2011) Spin-coated substrates for cell growth Proceedings of the Seventy-Fifth European Study Group with Industry [Details]

Teaching Interests

At Limerick I teach the following courses for the M.Sc. in Mathematical Modelling:

 

Mathematical biology and physiology, for which course materials are available: problem sheets and some (incomplete) lecture notes on enzyme kinetics, heart action, respiration and blood cell diseases.

 

Mathematical geoscience, for which course materials are available: problem sheets and lecture notes on modelling, climate, rivers, dunes, and glaciers and ice sheets.

 

The courses are assessed by 25% course work and 75% mini-project, completed after the end of the semester. 

Together with Iain Moyles and Josh Duley, I teach the fourth year undergraduate course

 

Mathematical modelling of natural phenomena, for which course materials are available on sulis, otherwise (less accessible) there are problem sheets and some lecture notes.

The lecture notes and problem sheets may undergo revision during the semester, so keep an eye on them. There are also exam papers (mock/recent) on sulis. Together with Iain Moyles and Josh Duley, I teach the fourth year undergraduate course

Mathematical modelling of natural phenomena, for which course materials are available on sulis, otherwise (less accessible) there are problem sheets and some lecture notes.

The lecture notes and problem sheets may undergo revision during the semester, so keep an eye on them. There are also exam papers (mock/recent) on sulis.