e. breward@maths.ox.ac.uk p. (01865) 270505 f. (01865) 270515


Scroll down to browse my publications and my students' theses.



35. Wilmott ZM, Breward CJW and Chapman SJ. (2018) The effect of ions on the motion of an oil slug through a charged capillary. J. Fluid Mech. 841, 310-350. DOI://doi.org/10/1017/jfm.2018.13
34. Black JP, Breward CJW and Howell PD (2017) Quantum mechanical effects in continuum charge flow models IMA J. Appl. Math., 82(2), 251-269 (doi:10.1093/imamat/hxw037).
33. Hennessy M, Breward CJW and Please CP (2016) A two-phase model for evaporating solvent-polymer mixtures SIAM J. Appl. Math. 76(4):1711-1736.
32. O'Kiely D, Breward CJW, Griffiths IM, Howell PD and Lange U (2015) Edge behaviour in the glass redraw process. J. Fluid Mech., 785, 248-269.
31. Breward CJW, Griffiths IM, Howell PD and Morgan M (2015) Straining flow of a weakly interacting polymer-surfactant solution. Euro. J. Appl. Math., 26 (5), 743-772.
30. Morgan CE, Breward CJ, Griffiths IM and Howell PD (2015) Mathematical Modelling of Surfactant Self-Assembly at Interfaces. SIAM J. Appl. Math., 75(2), 836-860.
29. Black JP, Breward CJ, and Howell PD (2015) Two-dimensional modelling of electron flow through a poorly conducting layer. SIAM J. Appl. Math., 75(2), 289-312. DOI:10.1137/140984105.
28. Bruna M and Breward CJW (2014) The influence of nonpolar lipids on tear film dynamics. J Fluid Mech., 746, 565-605. DOI: 10.1017/jfm.2014.106
27. Black JP, Breward CJW, Howell PD and Young RJS (2013) Mathematical Modelling of contact resistance in silicon photovoltaic cells SIAM J Appl Math. 73(5), 1906-1925. DOI: 10.1137/130911974
26. Zubkov VS, Breward CJW and Gaffney EA (2013) Meniscal tear film fluid dynamics near Marx's line Bull Math Biol. 75(9):1534-43. DOI: 10.1007/s11538-013-9858-x
25. Taroni M, Breward CJW, Cummings LJ and Griffiths IM (2013) Asymptotic solutions of glass temperature profiles during steady optical fibre drawing J Engrg Math. 80(1): 1-20
24. Griffiths IM, Breward CJW, Colegate DM, Dellar PJ, Howell PD and Bain CD (2013) A new pathway for the re-equilibration of micellar surfactant solutions Soft Matter 9, 853-863. DOI:10.1039/C2SM27154K
23. Morgan CE, Breward CJW, Griffiths IM, Howell PD, Penfold J, Thomas RK, Tucker I, Petkov JT and Webster JRP (2012) The kinetics of surfactant desorption at the air-solution interface Langmuir. 28(50):17339-48. DOI: 10.1021/la304091g
22. Taroni M., Breward C.J.W., Howell, P.D., and Oliver, J. M. (2012) Boundary conditions for free surface inlet and outlet problems. J. Fluid Mech. 708, 100-110. DOI:10.1017/jfm.2012.275
21. Zubkov, V., Breward, C.J.W., and Gaffney, E.A. (2012) Coupling fluid and solute dynamics within the ocular surface tear film: a modelling study of black line osmolarity. Bulletin of Mathematical Biology. 74 (9). 2062-2093. DOI:10.1007/s11538-012-9746-9
20. Fletcher, A., Breward, C.J.W. and Chapman, S.J. (2012) Mathematical modelling of monoclonal conversion in the colonic crypt. Journal of Theoretical Biology. 300, 118-133. DOI:10.1016/j.jtbi.2012.01.021
19. Griffiths, I.M., Bain, C.D., Breward, C.J.W, Chapman, S.J, Howell, P.D., and Waters, S.L. (2011) An asymptotic theory for the reequilibration of a micellar surfactant solution. SIAM Journal of Applied Mathematics. 72, 201-215. DOI:10.1137/110842089
18. Taroni, M., Breward, C.J.W, Howell, P.D., Oliver, J.M., and Young, R.S.J. (2011) The screen printing of a power-law fluid. Journal of Engineering Mathematics. 73 (1). 93-119. DOI:10.1007/s10665-011-9500-6. ERRATUM Journal of Engineering Mathematics. 74 (1). 207.
17. Griffiths, I.M., Bain, C.D., Breward, C.J.W., Colegate, D.M., Howell, P.D., and Waters, S.L. (2011) On the predictions and limitations of the Becker-Doring model for reaction kinetics in micellar surfactant solutions . Journal of Colloid and Interface Science. 360 (2), 662-671. DOI:10.1016/j.jcis.2011.04.074
16. Aydemir E., Breward C.J.W. and Witelski, T.P. (2011) The effect of polar lipids on tear film dynamics. Bulletin of Mathematical Biology, 73(6), 1171-1201. DOI:10.1007/s11538-010-9555-y
15. Hocking, G.C., Sweatman, W.L., Fitt, A.D. and Breward, C.J.W. (2011) Deformations during jet-stripping in the galvanizing process. Journal of Engineering Mathematics, 70(1-3), 297-306. DOI:10.1007/s10665-010-9394-8
14. Bell, C. G.; Breward, C. J. W.; Howell, P. D.; Penfold, J.; Thomas, R. K. (2010) A theoretical analysis of the surface tension profiles of strongly interacting polymer-surfactant systems. Journal of Colloid and Interface Science. 350, no. 2, 486-493.
13. Bohun C.S. and Breward C.J.W., (2009) Yolk Dynamics in Amphibian Embryos. Maths in Industry Case Studies, 1, 1-21.
12. Dyson RJ, Brander J, Breward CJW and Howell PD, (2009) Long-wavelength stability of an unsupported multilayer liquid film falling under gravity. Journal of Engineering Mathematics, 64 (3), 237--250. DOI 10.1007/s10665-009-9278-y.
11. Bell CG, Breward CJW, Howell PD, Penfold J, and Thomas RK, (2007) Macroscopic modelling of the surface tension of polymer-surfactant systems, Langmuir, 23(11), 6042-6052. DOI: 10.1021/la063714h
10. Penfold J, Tucker I, Thomas RK, Taylor DJF, Zhang XL, Bell CG, Breward CJW and Howell PD. (2007) The interaction between sodium alkyl sulfate surfactants and the oppositely charged polyelectrolyte, PolyDMDAAC, at the Air-Water Interface: The role of Alkyle chaim length and electrolyte and comparison with theoretical predictions, Langmuir 23(6), 3128-3136. DOI:10.1021/la063016x
9. White, G.S. and Howell, P.D. and Breward, C.J.W. and Young, R.J.S. (2006) A simple model for screen printing of Newtonian fluids. Journal of Engineering Mathematics, 54(1). pp 49-70.
8. Breward, C.J.W. and Howell, P.D. (2004) Straining flow of a micellar surfactant solution. European Journal of Applied Mathematics, 15(5). pp. 511-531.
7. Breward, C.J.W. and Byrne, H.M. and Lewis, C.E. (2003) A multiphase model describing vascular tumour growth. Bulletin of Mathematical Biology, 65. pp. 609-640.
6. Howell, P.D. and Breward, C.J.W. (2003) Mathematical modelling of the overflowing cylinder experiment. Journal of Fluid Mechanics, 474. pp. 275-298.
5. Breward, C.J.W. and Howell, P.D. (2002) The drainage of a foam lamella. Journal of Fluid Mechanics, 458. pp. 379-406.
4. Breward, C.J.W. and Byrne, H.M. and Lewis, C.E. (2002) The role of cell-cell interactions in a two-phase model for avascular tumour growth. Journal of Mathematical Biology, 45 (2). pp. 125-152.
3. Breward, C.J.W. and Darton, R.C. and Howell, P.D. and Ockendon, J.R. (2001) The effect of surfactants on expanding free surfaces. Chemical Engineering Science, 56. pp. 2867-2878.
2. Breward CJW, Byrne HM and Lewis CE, (2001), Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour. European Journal of Applied Mathematics, 12: 529-556.
1. Breward, C.J.W and Darton, R.C. and Howell, P.D. and Ockendon, J.R. (1997) Modelling foam drainage. I Chem E Symposium Series, 142 (2). pp. 1009-1019


Submitted Papers

3. Wilmott ZM, Breward CJW and Chapman SJ. Modelling low salinity oil recovery mechanisms using an ion dissociation model. Submitted to Transactions in Porous Media (2018)
2. Wilmott ZM, Breward CJW and Chapman SJ. Slip flow through channels of varying elliptic cross section. Submitted to IMA J. Appl. Math. (2017)
1. O'Kiely D, Breward CJW, Griffiths IM, Howell PD and Lange U. Glass sheet redraw through a long heater zone. Submitted to IMA J. Appl. Math. (2017)


Study Group Reports

Breward CJW, Hocking G, Ockendon H, Please CP and Schwendeman Modelling the flow through Sugar Cane Proceedings of the MISGA (2012)
Breward CJW, Griffiths IM, Potter H and Taroni M Matched asymptotic solutions of glass temperature profiles during optical fibre drawing Proceedings MPI (2011)
Breward CJW, Chen T, Tan Y and Westbrook R Position sensing Proceedings of the 3rd Fields-MITACS Industrial Problem Solving Workshop (2010)
Bohun CS, Breward CJW, Cummings LJ and Witelski TP Two problems on the flow of viscous sheets in glass Proc MPI (2010)
Breward CJW, Heffernan J, Madras N, Muira RM and Sorensen MP Discovery and assessment of new target sites for Anti-HIV therapies Proceedings of the 2nd Fields-MITACS Industrial Problem Solving Workshop (2008)
Breward CJW and Edwards D. Characterising molecular diffusion in the lens capsule. Proc MPI (2007).
Breward CJW and Huang H. Resource allocation. Proc ESGI56 (2007)
Bohun CS and Breward CJW. Yolk dynamics in amphibian embryos. Proc Fields Study Group. (2006)
Witelski T and Breward CJW. Analysis of chemical-mechanical polishing via elastohydrodynamic lubrication. Proc 21st MPI. (2005)
Breward CJW and Richardson GW. Capillary agglutination technology. Proc ESGI53 (2005)
Breward CJW, Dyson R, Edwards CM, Metcalfe P, Please CP and Zyskin M Modelling of melt on spinning wheels and the impact of scale-up on the various parameters. Proc ESGI49 (2004).
Breward CJW and Lacey AA, Perspiration modelling of the human foot. Proc ESGI46 (2003).
Breward CJW, Dellar PJ, Edwards CM, Kaouri K, Richardson GW and Wilson SK, Mathematical modelling of pipe-flow and extrusion of composite materials (Working title: Mathematical modelling of the extrusion of ice cream). Proc ESGI43, (2002)
Billingham J, Breward CJW and Howell PD, Curvature of the spine: hydrostatic pressure as an indicator of scoliosis. Proc. MMSG2001, 18-30, (2002).
Breward CJW and Byrne HM, Effects of a new anti-tumour drug, fibrinogen E-fragment, in vivo: differential effects on the outer versus the inner areas of tumours. Proc. MMSG2000, 42-57, (2001).
Breward CJW and Parker DF, Oxygen tension in an experimental cell culture apparatus. Proc. ESGI2000, (2000).



Breward CJW, The mathematics of foam. DPhil thesis, Oxford University, (1999).
Breward CJW, The spreading of solder. MSc thesis, Oxford University, (1995).


Student Theses

O'Kiely D Mathematical models for the glass sheet redraw process DPhil Thesis, Oxford University (2017)
Letchford N Cavitation in lubricating films DPhil Thesis, Oxford University (2017)
Black JP Mathematical modelling of electronic contact mechanisms in silicon photovoltaic cells DPhil Thesis, Oxford University (2015)
Hennessy M Mathematical problems relating to the fabrication of organic photovoltaic devices DPhil Thesis, Oxford University (2014).
Shabala A Mathematical modelling of oncolytic virotherapy DPhil Thesis, Oxford University (2014).
Morgan CR, Mathematical Modelling of surfactant adsorption structures at interfaces. DPhil Thesis, Oxford University (2012)
Fletcher AG, Aspects of tumour modelling from the subcellular to the tissue scale. DPhil Thesis, Oxford University (2011).
Taroni M,Thin film models of the screen-printing process. DPhil Thesis, Oxford University (2010).
Dyson RJ, Mathematical Modelling of curtain coating. DPhil Thesis, Oxford University (2008).
Bell CG, Mathematical modelling of polymer-surfactant mixtures. DPhil Thesis, Oxford University (2008).
Aydemir E, Modelling tears on the surface of the eye. MSc Thesis, Oxford University (2007).
White GS, Mathematical modelling of screen printing. DPhil Thesis, Oxford University (2006).
Tayler Z, Modelling synovial joints and the progression of rheumatoid arthritis. MSc thesis, Oxford University, (2006).
Sane J, Tumour modelling. MSc thesis, Oxford University, (2003).
White GS, Mathematical modelling of invertebral discs. MSc thesis, Oxford University, (2002).
White A, The effect of ionic surfactant on expanding free surfaces. MSc thesis, Oxford University, (2001).