Publications

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2009

Fowler, A.C:
Dynamics of subglacial floods.
Proc. R. Soc. Lond. A 465, 1809-1828. doi:10/1098/rspa.2008.0488.

Fowler, A.C:
Instability modelling of drumlin formation incorporating lee-side cavity growth.
Proc. R. Soc. Lond. A 465, 2681-2701.

Hewitt, I.J. and Fowler, A.C:
Melt channelization in ascending mantle.
J. Geophys. Res. 114, B06210, doi:10.1029/2008JB006185.

Peppin, S.S.L., Majumdar, A. and Wettlaufer, J.S:
Morphological instability of a nonequilibrium ice-colloid interface.
Proc. R. Soc. Lond. A, in press.

Peppin, S.S.L:
On diffusion and permeation.
J. Non-Equilibrium Thermodynamics, in press.

Peppin, S.S.L., Spannuth, M. and Wettlaufer, J.S:
Onsager reciprocity in premelting solids.
J. Stat. Phys. 143, 701-708.

Martinez-Alvarado, O., Moroz, I.M., Read, P.L., Lewis, S.R. and Montabone, L.:
Low-order dynamical behaviour in the Martina Atmosphere: diagnosis of general circulation
model results.
Icarus, in press.

Martinez-Alvarado, O., Montabone, L., Lewis, S.R., Moroz, I.M. and Read, P.L:
Transient teleconnection event at the onset of a planet-encircling dust storm on Mars.
To appear in Annales Geophysicae.

2008

Peppin, S.S.L., Huppert, H.E. and Worster, M.G:
Steady-state solidification of aqueous ammonium chloride.
J. Fluid Mech. 599, 465-476.

Peppin, S.S.L. Wettflaufer, J.S. and Worster, M.G:
Experimental verification of morphological instability in freezing aqueous colloidal suspensions.
Phys. Rev. Lett. 100, 238301.

Balmforth, N.J., J. von Hardenberg, A. Provenzale and R. Zammett:
Dam breaking by wave-induced erosional incision
Journal of Geophysical Research, doi:10.1029/2007JF000756

Hewitt, I.J. and Fowler, A.C:
Seasonal waves on glaciers
Hydrological Processes 22, 3919-3930.

Hewitt, I.J. and Fowler, A.C:
Partial melting in an upwelling mantle column.
Proc. R. Soc. Lond. A 464, 2467-2491.

Diaz, J.I., Fowler, A.C., Munoz, A.I. and Schiavi, E:
Mathematical analysis of a model of river channel formation.
Pure Appl. Geophys. 165, 1663-1682.

Moroz, I.M:
Template analysis of a Faraday disk dynamo.
EPJ Special I Topics 165, 211-220.

Moroz, I.M:
Template analysis of the Hide, Skeldon, Acheson Dynamo.
Nonlinear time series analysis in the Geosciences, LNES 112, 293-309.

2007

Christodoulou, G., G.C. Sander and A.D. Wheatley:
The Ezousas aquifer characterization for storage recovery using recycled water
Q. J. Eng. Geology and Hydrogeology. 40, 229-240.

Evatt, G.W. and A.C. Fowler:
Cauldron subsidence and subglacial floods
Ann. Glaciol. 45, 163-168.

Fowler, A.C., N. Kopteva and C.W. Oakley:
The formation of river channels
SIAM J. Appl. Math. 67, 1016-1040.

Sander, G.C., J.-Y. Parlange, D.A. Barry, M.B. Parlange and W.L. Hogarth:
Limitation of the transport capacity concept in sediment transport modelling
Water Res. Res. 43(2): W02403 10.1029/2006WR005177.

Sander, G.C., T. Zheng and C.W. Rose:
Update to "Modeling water erosion due to overland flow using physical principles 1. Sheet flow
Water Res. Res. 43 W04408, doi:10.1029/2006WR005601.

Schnepf, A., T. Roose and P. Schweiger:
Growth model for arbuscular mycorrhizal fungi
Journal of the Royal Society Interface, doi:10.1098/rsif.2007.1250

Zammett, R.J. and A.C. Fowler:
Katabatic winds on ice sheets: a refinement of the Prandtl model
Journal of the Atmospheric Sciences, 64, 2707-2716.

Moroz, I.M:
The Hide, Skeldon, Acheson Dynamo revisited.
Proc. R. Soc. Lond. A 463, 113-130.

Moroz, I.M., Letellier, C and Gilmore, R:
When are projections also embeddings?
Phys. Rev. E, 75, 046201.

Hide, R. and Moroz, I.M:
Self-exciting Faraday disk dynamos. In Mathematical Aspects of Natural Dynamos,
CRC Press, pp 97-117.

2006

Barry, D.A., J.-Y. Parlange, G.C. Sander, L. Li, D.-S. Jeng and W.L. Hogarth:
Discussion of 'Closure to Explicit Solution to the Green and Ampt infiltration Equation'
by Sergio E. Serrano. ASCE J. Hydraulic Eng., 11, 282-284.

Darrah, P.R., D. L. Jones, G. J. D. Kirk and T. Roose: Modelling the rhizosphere:
a review of methods for upscaling to the whole-plant scale.
European Journal of Soil Science, 57, 13-25.

Evatt, G.W., A.C. Fowler, C.D. Clark and N. Hulton: Subglacial floods
under ice sheets. Phil. Trans. Roy. Soc. 364, 1769-1794.

Nowack, B., K. U. Mayer, S. E. Oswald, W. Van-Beinum, C. A. J. Appelo, D. Jacques,
P. Seuntjens, F. Gérard, B. Jaillard, A. Schnepf and T. Roose:
Verification and intercomparison of reactive transport codes to describe root-uptake.
Plant and Soil, Online First DOI: 10.1007/s11104-006-9017-3.

Schnepf, A. and T. Roose:
Modelling the contribution of arbuscular mycorrhizal fungi to plant nutrient uptake.
New Phytologist, 171(3), 669-682.

2005

Darrah, P.R. and T. Roose:
Modelling the rhizosphere
Chapter in "The Rhizosphere: Biochemistry and Organic Substances at Soil Plant Interface",
2nd revised edition, Marcel-Dekker Inc., New York. Editors. R. Pinton, Z. Varanini,
and P. Nannipieri.

Martinez-Alvarado,O., I.M. Moroz, P.L. Read and S.R. Lewis:
Reduced Order Models
of the Martian Atmospheric Dynamics, ENOC-2005, Eindhoven, Netherlands,
7-12 August 2005, pp 891-899.

Moroz, I.M.: The extended Malkus-Robbins dynamo as a perturbed Lorenz system.
Nonlinear Dynamics, 41, 191-210.

Norbury, J., G.C. Sander and C.F. Scott:
Corner solutions of the Laplace-Young equation.
Quart. J .Mech. Appl. Math., 58, 55-71.

Sander, G.C. and R.D. Braddock:
Similarity solutions for unsaturated water and solute transport.
Adv. Water Resour., 10, 1102-1111.

Sander, G.C., J.-Y. Parlange, I.G. Lisle and S.W. Weeks:
Exact solutions for radial symmetric two-dimensional two-phase flow for an arbitrary diffusivity.
Adv. Water Resour., 28, 1112-1121.

Scott, C.F., G.C. Sander and J. Norbury:
Computation of capillary surfaces for the Laplace-Young equation.
Quart. J. Mech. Appl. Math, 58, 201-212.

Su, N., G.C. Sander, F. Liu, V. Anh and D.A. Barry:
Similarity solutions for solute transport in fractal porous media with time and scale
dependent dispersivity
Appl. Math. Modelling, 29, 852-870.

Whitehouse,S.G., S.R. Lewis, I.M. Moroz and P.L. Read:
A simplified model of the Martian Atmosphere - Part 1: a diagnostic analysis
NPG, 12, 603-623.

Whitehouse,S.G., S.R. Lewis, I.M. Moroz and P.L. Read:
A simplified model of the Martian Atmosphere- Part 2: a POD-Galerkin analysis.
NPG, 12, 625-642.

2004

Hogarth, W.L., J.-Y. Parlange, C.W. Rose, G.C. Sander, T.S. Steenhuis and D.A. Barry, 2004
Soil erosion due to rainfall impact with inflow. An analytical solution with spatial and
temporal effects. , J. Hydrol, 295, 140-148.

Hogarth, W.L., C.W. Rose, J.-Y. Parlange, G.C. Sander and G. Carey, 2004
Soil erosion due to rainfall impact with no inflow. A numerical solution with spatial and
temporal effects of sediment settling velocity characteristics . J. Hydrol, 295, 229-240.

Lee, H.S., C.J. Matthews, R.D. Braddock, G.C. Sander and F. Gandola, 2004
A MATLAB method of lines template for transport equations.
Environ. Mod. Software, 19, 603-614.

Matthews, C.J., R.D. Braddock and G.C. Sander, 2004 Modelling flow through a
one-dimensional multi-layered soil profile using the Method of Lines.
Environ. Mod. Assess., 9, 103-113.

Moroz, I.M. 2004 The Malkus-Robbins dynamo with a nonlinear
motor. I.J.B.C., 14, 2885-2892.

Roose, T. and A.C. Fowler 2004 A model for water uptake by plant roots.
J. Theor. Biol. 228 (2), 155-171.

Roose, T. and A.C. Fowler 2004 A mathematical model for water and nutrient
uptake by plant root systems. J. Theor. Biol. 228 (2), 173-184.

Weeks, S.W., G.C. Sander, R.D. Braddock and C.J. Matthews, 2004
Saturated and unsaturated flow in inclined porous media.
Environ. Mod. Assess., 9, 91-102.

2003

Barry, D.A., J.-Y. Parlange, G.C. Sander, L. Li, D.-S Jeng and W.L. Hogarth, 2003
Discussion on 'An Explicit solution to the Green and Ampt infiltration Equation' by
Sergio E. Serrano. ASCE J. Hydraulic Eng., 6, 365-380.

Fowler, A.C. and P.D. Howell 2003 Intermittency in the transition to turbulence.
SIAM J. Appl. Math. 63 (4), 1184-1207.

Fowler, A.C. 2003 Rheology of subglacial till [letter]. J. Glaciol. 48 (163), 631-632.

Fowler, A.C. 2003 A mathematical model of differential frost heave. Proc. 8th Int. Conf.
Permafrost, eds. M. Philips, S.M. Springman and L. Arenson, volume 1, pp. 249-252,
A.A. Balkema, Lisse.

Fowler, A.C. and S.B.G. O'Brien 2003 Lithospheric failure on Venus.
Proc. R. Soc. A459, 2663-2704.

Fowler, A.C. and Xinshe Yang 2003 Dissolution/precipitation mechanisms for
diagenesis in sedimentary basins. J. Geophys. Res. 108, B10, 2509,
doi: 10.1029/2002JB002269. EPM 13 1-14.

Fowler, A.C. 2003 On the rheology of till. Ann. Glaciol. 37, 55-59.

Moroz, I.M. 2003. The Malkus-Robbins dynamo with a linear series
motor.Int. J. Bif. Chaos,13, 147-161.

Weeks, S.W., G.C. Sander and J.-Y. Parlange, 2003 n-dimensional first integral and
similarity solutions for two-phase flow. ANZIAM J., 44, 365-380.