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Prof. Andrew Fowler

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.

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.

Publications

Peer Reviewed Journals

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
In Geophysical And Astrophysical Fluid Dynamics; pp. 130-165
DOI: 10.1080/03091929.2016.1146264

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
In Journal Of Geophysical Research-Earth Surface; pp. 1501-1514
DOI: 10.1002/2015JF003505
[ULIR]

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
In Journal Of Glaciology; pp. 825-836
DOI: 10.3189/2015Jo14J235

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
In Pure And Applied Geophysics; pp. 49-56
DOI: 10.1007/s00024-014-0892-x

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
In Physics Of Fluids;
DOI: 10.1063/1.4923061
[ULIR]

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
In Bulletin Of Mathematical Biology; pp. 1539-1555
DOI: 10.1007/s11538-015-0095-3

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
In Geophysical And Astrophysical Fluid Dynamics; pp. 39-61
DOI: 10.1080/03091929.2014.955799

2015

A 2D channel-clogging biofilm model
Winstanley, HF,Chapwanya, M,Fowler, AC,O'Brien, SBG
(2015) A 2D channel-clogging biofilm model
In Journal Of Mathematical Biology; pp. 647-668
DOI: 10.1007/s00285-014-0833-4

2014

Modelling spatial oscillations in soil borehole bacteria
McGuinness, MJ,Cribbin, LB,Winstanley, HF,Fowler, AC
(2014) Modelling spatial oscillations in soil borehole bacteria
In Journal Of Theoretical Biology; pp. 74-79
DOI: 10.1016/j.jtbi.2014.08.017

2014

Subglacial swamps
Kyrke-Smith, TM,Fowler, AC
(2014) Subglacial swamps
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
DOI: 10.1098/rspa.2014.0340
[ULIR]

2014

Oscillations in soil bacterial redox reactions
Fowler, AC,Winstanley, HF,McGuinness, MJ,Cribbin, LB
(2014) Oscillations in soil bacterial redox reactions
In Journal Of Theoretical Biology; pp. 33-38
DOI: 10.1016/j.jtbi.2013.10.010

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
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
DOI: 10.1098/rspa.2014.0185

2014

Reaction front formation in contaminant plumes
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC
(2014) Reaction front formation in contaminant plumes
In Journal Of Contaminant Hydrology; pp. 12-21
DOI: 10.1016/j.jconhyd.2014.10.006

2014

Respiratory Control and the Onset of Periodic Breathing
Fowler, AC
(2014) Respiratory Control and the Onset of Periodic Breathing
In Mathematical Modelling Of Natural Phenomena; pp. 39-57
DOI: 10.1051/mmnp/2011-9104

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
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
DOI: 10.1098/rspa.2013.0494

2013

The motion of ice stream margins
Fowler, AC
(2013) The motion of ice stream margins
In Journal Of Fluid Mechanics; pp. 1-4
DOI: 10.1017/jfm.2012.504

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
In Journal Of Glaciology; pp. 449-466
DOI: 10.3189/2013JoG12J140
[ULIR]

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
In Bulletin Of Mathematical Biology; pp. 1985-2001
DOI: 10.1007/s11538-013-9881-y

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
In Quaternary Science Reviews; pp. 77-96
DOI: 10.1016/j.quascirev.2012.11.011

2012

Explosive fragmentation criteria and velocities for vesicular magma
McGuinness, MJ,Scheu, B,Fowler, AC
(2012) Explosive fragmentation criteria and velocities for vesicular magma
In Journal Of Volcanology And Geothermal Research; pp. 81-96
DOI: 10.1016/j.jvolgeores.2012.05.019

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
In Earth Surface Processes And Landforms; pp. 1105-1112
DOI: 10.1002/esp.2138

2011

A polymer-solvent model of biofilm growth
Winstanley, HF; Chapwanya, M; McGuinness, MJ; Fowler, AC
(2011) A polymer-solvent model of biofilm growth
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences; pp. 1449-1467
DOI: 10.1098/rspa.2010.0327

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
In Bulletin Of Mathematical Biology; pp. 1-25
DOI: 10.1007/s11538-011-9656-2

2011

Mathematical Geoscience
Fowler, A
(2011) Mathematical Geoscience
In Mathematical Geoscience; pp. 1-
DOI: 10.1007/978-0-85729-721-1

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
In Bulletin Of Mathematical Biology; pp. 2983-3007
DOI: 10.1007/s11538-011-9656-2

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
In Journal Of Glaciology; pp. 904-916
DOI: 10.3189/002214311798043834

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

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
In Geophysical And Astrophysical Fluid Dynamics; pp. 340-350
DOI: 10.1080/03091929.2010.531719

2010

Weertman, Lliboutry and the development of sliding theory
Fowler, AC
(2010) Weertman, Lliboutry and the development of sliding theory
In Journal Of Glaciology; pp. 965-972

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
In Siam Journal On Applied Mathematics; pp. 2409-2433
DOI: 10.1137/080734558
[ULIR]

2010

The formation of subglacial streams and mega-scale glacial lineations
Fowler, AC
(2010) The formation of subglacial streams and mega-scale glacial lineations
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences; pp. 3181-3201
DOI: 10.1098/rspa.2010.0009

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
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences; pp. 731-752
DOI: 10.1098/rspa.2009.0382

2010

Blowing of polycrystalline silicon fuses
Lee, WT; Fowler, AC; Power, O; Healy, S; Browne, J
(2010) Blowing of polycrystalline silicon fuses
In Applied Physics Letters;
DOI: 10.1063/1.3457469
[ULIR]

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
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences; pp. 2673-2694
DOI: 10.1098/rspa.2010.0017

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
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences; pp. 363-382
DOI: 10.1098/rspa.2009.0335

2009

Initiation of Guinness
O'Sullivan, M; Power, O; Lee, W; Fowler, A; Dellar, P; O'Sullivan, M
(2009) Initiation of Guinness
In Mathematics In Industry; pp. 1-38

2009

Dynamics of subglacial floods
Fowler, AC
(2009) Dynamics of subglacial floods
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences; pp. 1809-1828
DOI: 10.1098/rspa.2008.0488

2009

Instability modelling of drumlin formation incorporating lee-side cavity growth
Fowler, AC
(2009) Instability modelling of drumlin formation incorporating lee-side cavity growth
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences; pp. 2681-2702
DOI: 10.1098/rspa.2008.0490

2009

Melt channelization in ascending mantle
Hewitt, IJ; Fowler, AC
(2009) Melt channelization in ascending mantle
In Journal Of Geophysical Research-Solid Earth;
DOI: 10.1029/2008JB006185

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
In Journal Of The Royal Society Interface; pp. 1087-1096
DOI: 10.1098/rsif.2009.0010

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
In Bulletin Of Mathematical Biology; pp. 1772-1789
DOI: 10.1007/s11538-008-9324-3

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
In Pure And Applied Geophysics; pp. 1663-1682
DOI: 10.1007/s00024-004-0394-3

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]

2008

Partial melting in an upwelling mantle column
Hewitt, IJ; Fowler, AC
(2008) Partial melting in an upwelling mantle column
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences; pp. 2467-2491
DOI: 10.1098/rspa.2008.0045

2008

Seasonal waves on glaciers
Hewitt, IJ; Fowler, AC
(2008) Seasonal waves on glaciers
In Hydrological Processes; pp. 3919-3930
DOI: 10.1002/hyp.7029

2006

The formation of river channels
Fowler, AC; Kopteva, N; Oakley, C
(2006) The formation of river channels
In Siam Journal On Applied Mathematics; pp. 1016-1040
DOI: 10.1137/050629264
[ULIR]

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

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

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

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

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

Conference Publications

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) Proceedings of the Seventy-Fifth European Study Group with Industry

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) 75th European Study Group with Industry- Proceedings

2009

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Lee, W; Power, O; Fowler, A; Healey, S; Browne, J
(2009) NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
pp. 1461-1464

2009

AIP Conference Proceedings
Lee W., Power O., Fowler A., Healey S., Browne J.
(2009) AIP Conference Proceedings
pp. 1461-1464
DOI: 10.1063/1.3241370

2009

AIP Conference Proceedings
McGuinness M.J., Fowler A.C., Scheu B., Lee W.T.
(2009) AIP Conference Proceedings
pp. 1442-1445
DOI: 10.1063/1.3241365

Other Publications

2013

Correspondence
Fowler, AC
(2013) Correspondence
In Journal Of Glaciology; pp. 190-192
DOI: 10.3189/2013JoG12J164