### 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

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

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]

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

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

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]

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

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

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

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

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]

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

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

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

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

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

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

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]

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

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

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

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

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

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

Mathematical Geoscience

Fowler, A

(2011)
Mathematical Geoscience

* In Mathematical Geoscience;*
pp. 1-

**DOI:** 10.1007/978-0-85729-721-1

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

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

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

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

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

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]

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

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

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]

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

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

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

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

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

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

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

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

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

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]

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

Seasonal waves on glaciers

Hewitt, IJ; Fowler, AC

(2008)
Seasonal waves on glaciers

* In Hydrological Processes;*
pp. 3919-3930

**DOI:** 10.1002/hyp.7029

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]

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

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

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

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

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

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

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

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

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

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

Correspondence

Fowler, AC

(2013)
Correspondence

* In Journal Of Glaciology;*
pp. 190-192

**DOI:** 10.3189/2013JoG12J164