Assoc. Prof. G.N. Mercer publications as at 20 February 2008

Submitted Articles

  1. G.N. Mercer, 2008, ``Determining the optimal shelterbelt porosity for the capture of spray drift'', submitted to Environmental Modelling and Software.

Book Chapters

  1. G.N. Mercer and R.O. Weber, 2007, Modeling heating effects, in Plant Disturbance Ecology, edited by E.A. Johnson and K. Miyanishi Academic Press.

  2. G.N. Mercer, W. Sweatman, A. Elvin, S. Harper, G. Fulford, J.F. Caunce and R. Pennifold, 2007, ``Process driven models for spray retention by plants'', Proceedings of the 2006 Mathematics in Industry Study Group, edited by G.C. Wake. Massey University

  3. G.N. Mercer and A.J. Roberts, 2005, Predicting the off-site deposition of spray drift from horticultural spraying through porous barriers on soil and plant surfaces, in Proceedings of the 2005 Mathematics in Industry Study Group, edited by G.C. Wake, 27-52. http://www.maths-in-industry.org/46/

  4. S.I. Barry, T.R. Marchant, and G.N. Mercer, 2003, Mathematical modelling of a wool scour bowl. Proc. of the 2002 Mathematics-In-Industry Study Group, ed. J. Hewitt and K. White, 106-124.

  5. G.N. Mercer and R.O. Weber, 2001, Fire Plumes, in Forest Fires: Behaviour and Ecological Effects, edited by E.A. Johnson and K. Miyanishi. Academic Press.

  6. G.N. Mercer, R.O. Weber, S.I. Barry and T. Thwaites, 1999, Product stabilisation for visual inspection systems in the Queensland coal industry, in Proc. of the 1998 Mathematics-In-Industry Study Group, ed. J. Hewitt, 61-76.

Refereed Journal Articles

  1. R.M. Pennifold, H.S. Sidhu and G.N. Mercer, 2008, ``Investigation of the forced Bonhoeffer van der Pol equations via continuation and other methods'', J. ANZIAM (E.), to appear.

  2. V.V. Gubernov, H.S. Sidhu, G.N. Mercer, Kolobov, A.V. and A.A. Polezhaev, 2008, "The effect of Lewis number variation on combustion waves in a model with chain-branching reaction'', J. Mathematical Chemistry. To appear, published online 14/2/08, DOI: http://dx.doi.org/10.1007/s10910-008-9363-x

  3. G.N. Mercer, S.I. Barry, D.O. Marlow, P. Kilby, 2008, ``Investigating the effect of detection and classification range and aircraft dynamics on a simplified maritime surveillance scenario'', J. ANZIAM (E.), to appear.

  4. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2008, ``Combustion wave in a model with chain branching reaction and their stability"', Combustion Theory and Modelling. To appear.

  5. J.F. Caunce, S.I. Barry and G.N. Mercer, 2008, ``A spatially dependent model for washing wool'', Applied Mathematical Modelling, 32, 389-404. DOI: http://dx.doi.org/10.1016/j.apm.2006.12.010

  6. G.N. Mercer and H.S. Sidhu, 2008, ``Mathematical modelling of the effect of fire exposure on a new type of protective clothing", J. ANZIAM (E.), 49, C289-C305. http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/346

  7. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2007, ``Analysing combustion waves in a model with chain branching", J. ANZIAM (E.), 49, C100-C115.

  8. J.F. Caunce, S.I. Barry, G.N. Mercer, and T.R. Marchant, 2007, ``Numerical simulation of contaminant flow in a wool scour"', Mathematical and Computer Modelling, 46, 499-512.

  9. G.N. Mercer and H.S. Sidhu, 2007, ``Two continuous methods for determining a minimal risk path through a minefield'', ANZIAM J. (E.), 48, C293-C306.http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/56

  10. G.N. Mercer, 2007, ``A simple diffusion model of the effect of droplet size and spread area on foliar uptake of hydrophilic compounds"', Pesticide Biochemistry and Physiology, 88, 128-133. DOI: http://dx.doi.org/10.1016/j.pestbp.2006.10.004

  11. G.N. Mercer and H.S. Sidhu, 2006 ``A heat transfer model describing burns to the skin from automotive airbags", ANZIAM J. (E.), 47, C339-C354. http://anziamj.austms.org.au/V47EMAC2005/Mercer/

  12. H.S. Sidhu, G.N. Mercer, M.J. Sexton, N.A. Ansari and Z. Jovanoski, 2006, ``Optimal path trajectories in a threat environment'', Journal of Battlefield Technology, 9, 33-39. http://www.argospress.com/jbt/

  13. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2006, ``Combustion waves in a model with chain branching reaction", J. Math. Chem., 39(1), 1-14. DOI: http://dx.doi.org/10.1007/s10910-005-9000-x

  14. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2006, ``Detecting Bogdanov-Takens bifurcation of traveling waves in reaction-diffusion systems", Int. J. Bif. and Chaos, 16(3), 749-755. DOI: http://dx.doi.org/10.1142/S0218127406015131

  15. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2006 ``Generalized compound matrix method", Appl. Maths. Let., 19, 458-463. DOI: http://dx.doi.org/10.1016/j.aml.2005.07.002

  16. J. F. Caunce, S.I. Barry and G.N. Mercer, 2006, ``A simple mathematical model of wool scouring"', ANZIAM J. (E), C34-C47. http://anziamj.austms.org.au/V47EMAC2005/Caunce2/

  17. J. F. Caunce, S.I. Barry, G.N. Mercer and T.R. Marchant, 2006, ``Modelling a wool scour bowl"', ANZIAM J. (E), C19-C33. http://anziamj.austms.org.au/V47EMAC2005/Caunce3/

  18. R.O. Weber, H.S. Sidhu, D.M. Sawade, G.N. Mercer and M.I. Nelson, 2006, ``Using the method of lines to determine critical conditions for thermal ignition", J. Engng. Math., 56, 185-200. DOI: http://dx.doi.org/10.1007/s10665-006-9059-9

  19. G.N. Mercer and H.S. Sidhu, 2005, ``Modeling thermal burns due to airbag deployment", Burns, 31, 977-980. DOI: http://dx.doi.org/10.1016/j.burns.2005.06.012

  20. V. Gubernov, H.S. Sidhu and G.N. Mercer, 2005, ``The effect of ambient temperature on the propagation of nonadiabatic combustion waves", J. Math. Chem., 37, 149-162. DOI: http://dx.doi.org/10.1007/s10910-004-1447-7

  21. A. McIntosh, R.O. Weber and G.N. Mercer, 2004, ``Non-adiabatic combustion waves for general Lewis numbers: Wave speed and extinction conditions", J. ANZIAM, 46, 1-16.

  22. V. Gubernov, G.N. Mercer, H.S. Sidhu and R.O. Weber, 2004, ``Evans function stability of nonadiabatic combustion waves'', Proc. Roy. Soc. Ser. A. 460, 2415-2435.

  23. V. Gubernov, G.N. Mercer, H.S. Sidhu, and R.O. Weber, 2003, ``Evans function stability of combustion waves'', SIAM J. Appl. Maths, 63, 1259-1275.

  24. V. Gubernov, G.N. Mercer, H.S. Sidhu and R.O. Weber, 2003, ``Numerical methods for the travelling wave solutions in reaction-diffusion equations'', J. ANZIAM (E), Part C, 271-289.

  25. S.D. Watt, G.N. Mercer, H.S. Sidhu and R.O. Weber, 2003, ``The thermal ignition problem in a cube'', J. ANZIAM (E), Part C, 820-835.

  26. R.O. Weber, G.N. Mercer and H.S. Sidhu, 2002, ``Combustion leftovers'', Mathl. Comp. Mod., 36, 371-377.

  27. V. Gubernov, G.N. Mercer, H.S. Sidhu and R.O. Weber, 2002, ``On the Evans function calculation of the stability of combustion waves'', Aus. Math. Soc. Gazette, 29, 155-163.

  28. J. Billingham and G.N. Mercer, 2001, ``The effect of heat loss on strongly exothermic combustion waves'', Combust. Theory Modelling, 5, 319-342.

  29. R.O. Weber, G.C. Wake, H.S. Sidhu, G.N. Mercer, B.F. Gray, W. Derrick and E. Balakrishnan, 2001, ``On the crossing of intermediate unstable steady state solutions for thermal ignition in the sphere'', J. ANZIAM, 43, 77-85.

  30. M.I. Nelson, H.S. Sidhu, R.O. Weber and G.N. Mercer, 2001, ``A dynamical systems model of the limiting oxygen index test'', J. ANZIAM, 43, 105-117.

  31. H.S. Sidhu, M.I. Nelson, G.N. Mercer and R.O. Weber, 2000, ``Dynamical analysis of an elementary $X+Y\rightarrow P$ reaction in a continuously stirred tank reactor'', J. Math. Chemistry, 28, 353-375. DOI: http://dx.doi.org/10.1023/A:1011043005019

  32. R.O. Weber, G.N. Mercer and H.S. Sidhu, 2000, ``Bifurcating combustion behaviour'', J. ANZIAM (E), 42, C1465-C1481.

  33. S.I. Barry and G.N. Mercer, 1999, ``Flow and deformation in porelasticity- I Unusual exact solutions'', Mathl. Comp. Mod., 30, 23-29.

  34. G.N. Mercer and S.I. Barry, 1999, ``Flow and deformation in porelasticity- II Numerical method'', Mathl. Comp. Mod., 30, 31-38.

  35. S.I. Barry and G.N. Mercer, 1999, ``Exact solutions for flow and deformation within finte poroelastic media'', ASME J. Appl. Mech., 66, 536-540.

  36. S.D. Watt, R.O. Weber, H. S. Sidhu and G.N. Mercer, 1999, ``A weight function approach for determining watershed initial conditions for combustion waves'', IMA J. appl. Math., 62, 195-206.

  37. G.N. Mercer, R.O. Weber, and H.S. Sidhu, 1998, An oscillatory route to extinction for solid fuel combustion waves due to heat loss. Proc. Roy. Soc. London Ser. A, 454, 2015-2022.

  38. S.I. Barry, and G.N. Mercer, 1998, ``Effect of a moving boundary on the deformation of a poro-elastic cylinder'', J. Aust. Math. Soc. B (E), 39, 627-666.

  39. G.N. Mercer and R.O. Weber, 1997, ``Radiation enhanced combustion wave speeds'', Proc. Roy. Soc. Lond. A, 453, 1543-1549.

  40. S.I. Barry, G.N. Mercer and C. Zoppou 1997, ``Approximate and analytic solutions for deformation of finite porous filters'', ASME J. Appl. Mech., 64, 929-934.

  41. G.N. Mercer and R.O. Weber 1997, ``Combustion waves in two dimensions and their one dimensional approximation'', Combustion Theory and Modelling, 1, 157-165.

  42. C. Zoppou, S.I. Barry and G.N. Mercer, 1997, ``Dynamics of human milk extraction: A comparative study of breast-feeding and breast pumping'', Bull. Math. Biology, 59(5), 953-973.

  43. C. Zoppou, S.I. Barry and G.N. Mercer, 1997, ``Comparing breastfeeding and breast pumps using a computer model'', Journal of Human Lactation, 13(3), 195-202.

  44. R.O. Weber, G.N. Mercer, H.S. Sidhu and B.F. Gray 1997, ``Combustion waves for gases (Le=1) and solids (Le $\rightarrow\infty$)'', Proc. Roy. Soc. Lond. A, 453, 1105-1118.

  45. S.I. Barry, C. Zoppou and G.N. Mercer, 1997, ``Deformation and fluid flow due to a source in a poroelastic layer of deformable porous medium'', Appl. Math. Modelling, 21, 681-689.

  46. G.N. Mercer, R.O. Weber, B.F. Gray and S.D. Watt, 1996, ``Combustion pseudo-waves in a system with reactant consumption and heat loss'', Mathl. Comp. Mod., 24, 29-38.

  47. S.I. Barry, G.K. Aldis and G.N. Mercer, 1995, ``Injection of fluid into a layer of deformable porous medium'', Appl. Mech. Rev., 48, 722-726.

  48. G.N. Mercer and R.O. Weber, 1995, ``Combustion wave speed'', Proc. Roy. Soc. Lond. A, 450, 193-198.

  49. G.N. Mercer, A.M. Gill and R.O. Weber, 1994, ``A time dependent model of fire impact on seed survival in woody fruits'', Aust. J. Botany, 42, 71-81.

  50. G.N. Mercer and A.J. Roberts, 1994, ``The form of standing waves on finite depth water", Wave Motion, 19, 233-244.

  51. G.N. Mercer and R.O. Weber, 1994, ``The plume above a line fire in a wind'', Int. J. Wildland Fire, 4, pp 201-207.

  52. G.N. Mercer and A.J. Roberts, 1994, ``A complete model of dispersion in pipes", Jap. J. Indust. Appl. Math., 11, 499-521.

  53. G.N. Mercer and A.J. Roberts, 1992, ``Standing waves in deep water : their stability and extreme form", Phys. Fluids A 4, 259-269.

  54. G.N. Mercer and A.J. Roberts, 1990, ``A centre manifold description of contaminant dispersion in channels with varying flow properties", SIAM J. Appl. Math., 50, 1547-1565.

Refereed conference proceedings

  1. D.O. Marlow, P. Kilby and G.N. Mercer, 2007, ``The travelling salesman problem in maritime surveillance - Techniques, algorithms and analysis'', Proc. International Congress on Modeling and Simulation (MODSIM07), eds. L. Oxley and D. Kulasiri, 684-690.

  2. G.N. Mercer and H.S. Sidhu, 2007, "Modelling heat transport in a new type of protective clothing during fire exposure", Proc. 35th Australasian Chem. Eng. Conf.. CD-ROM, CHEMECA 2007, 1855 - 1861, Engineers Australia, ISBN 0858 25844 7.

  3. Weber, R.O., Ansari, N.A., G.N. Mercer and H.S. Sidhu, 2003 "Multiple flame balls", Proc. Aust. Symp. on Combust., pp7.

  4. H.S. Sidhu, N.A. Ansari, G.N. Mercer, R.O. Weber and S.D. Watt, 2003 "Stagnation point flows: two dimensional solutions and its one dimensional approximation", Proc. 6th Engng. Maths. Appl. Conf., EMAC 2003, 247-251.

  5. S.I. Barry, G.N. Mercer, and T.R. Marchant, 2002, Mathematical modelling of a wool scour bowl. Proc. 5th Engng. Maths. Appl. Conf., EMAC 2002.

  6. R.O. Weber, G.N. Mercer, and H.S. Sidhu, 2001, ``Instability of travelling waves in a complex system modelling fire spread'', Proc. Int. Congress Model. Simulation: MODSIM 2001, 973-976.

  7. H.S. Sidhu, M.J. Sexton, M.I. Nelson, G.N. Mercer, and R.O. Weber, 2000, A simple combustion process in a semibatch reactor. 4th Engng. Maths. Appl. Conf., Ed. R.L. May, G.F. Fitz-Gerald, I.H. Grundy, Sept 2000.

  8. G.N. Mercer, R.O. Weber, and H.S. Sidhu, 1998, Pulsating combustion waves in solid fuels. 3rd Engng. Maths. Appl. Conf., 363-366, July 1998.

  9. H.S. Sidhu, G.N. Mercer and R.O. Weber, 1998, Combustion process in a continuously stirred tank reactor (CSTR). 3rd Engng. Maths. Appl. Conf., 455-458, July 1998.

  10. S.I. Barry, C. Zoppou and G.N. Mercer, 1997, ``Breast feeding: Understanding infant suckling and breast pumps'', Proceedings of the 4th International Conference on Biomedical Engineering, Singapore, December 1997.

  11. G.N. Mercer, R.O. Weber and B.F. Gray, 1997, ``Absolute zero and the adiabatic limit for combustion waves'', Proceedings of the 1997 Australian Symposium on Combustion, Sydney, November 1997.

  12. H.S. Sidhu, G.N. Mercer and R.O. Weber, 1997, ``Bifurcation analysis of a combustion reaction in a continuously stirred tank reactor (CSTR)'', Proceedings of the 1997 Australian Symposium on Combustion, Sydney, November 1997.

  13. R.O. Weber, G.N. Mercer and B.F. Gray 1997, ``Combustion waves: adiabatic limit'', Proceedings of the 16th International Colloquium on the dynamics of explosions and reactive systems, Cracow, Poland, August 1997.

  14. R.O. Weber, G.N. Mercer, B.F. Gray and S.D. Watt, 1995, ``Combustion waves: non adiabatic'', in Modeling in combustion science, Kauai, Hawaii, 1994. Proceedings, ed. J. Buckmaster and T. Takeno, Springer-Verlag.

  15. R.O. Weber, A.M. Gill, P.R.A. Lyons and G.N. Mercer, 1995, ``Time dependence of temperatures above wildland fires'', Proc. Landscape Fires '93: CALM Science, 4, 17-22.

  16. R.O. Weber, A.M. Gill, P.R.A. Lyons, P.H.R. Moore, R.A. Bradstock and G.N. Mercer, 1995, ``Modelling wildland fire temperatures'', Proc. Landscape Fires '93: CALM Science, 4, 23-26.

  17. G.N. Mercer and R.O. Weber, 1994, ``Plumes above line fires in a cross wind'', in 2nd International Conference on Forest Fire Research, Coimbra, Portugal, November 1994. Proceedings, Ed. D.X. Viegas.

  18. G.N. Mercer and A.J. Roberts, 1992, ``Extreme standing waves and their stability", in IUTAM Symposium on Breaking Waves, University of N.S.W., July 1991. Proceedings, Springer-Verlag.
  19. G.N. Mercer and A.J. Roberts, 1992, ``Standing waves: their stability and extreme from", in 11th Australasian Fluid Mechanics Conference, University of Tasmania, December 1992. Proceedings, Ed. M.R. Davis, G.J. Walker.
  20. G.N. Mercer and A.J. Roberts, 1992, ``The high order evolution equation for contaminant dispersion in pipes and a corresponding finite difference scheme", in Computational Techniques and Applications: CTAC-91, ed. J. Noye, B. Benjamin, and L. Colgan.

Other research papers (not refereed)

  1. G.N. Mercer, A. Wilkins, J. Crook, A. Fowler and S.I. Barry, 2008, ``Shelf life of wine'', Equation free summary of the 2008 Mathematics in Industry Study Group.

  2. G.N. Mercer, W. Sweatman, A. Elvin, S. Harper, G. Fulford, J.F. Caunce and R. Pennifold, 2007, ``Process driven models for spray retention by plants'', Equation free summary of the 2006 Mathematics in Industry Study Group.

  3. G.N. Mercer and A.J. Roberts, 2005, Predicting the off-site deposition of spray drift from horticultural spraying through porous barriers on soil and plant surfaces, in Equation free summary of the 2005 Mathematics in Industry Study Group.

  4. G.N. Mercer, 2000, ``Twin Flame Extinction'', presented as a seminar at the Australian Mathematics Society Conference, Brisbane, September 2000.

  5. G.N. Mercer and R.O. Weber 1998, ``Combustion waves in a medium with radiative heat transfer'', presented as a poster at 7th International Conference on Numerical Combustion, York, March 1998.

  6. G.N. Mercer, R.O. Weber and H.S. Sidhu 1998, ``Heat loss induced pulsations in combustion waves'', presented as a talk at 7th International Conference on Numerical Combustion, York, March 1998.

  7. G.N. Mercer, 1997, ``Simulation of fire spread in discrete fuels using flame contact''. presented as a poster at Bushfire '95, Australian Bushfire Conference, Darwin, Northern Territory, July 1997.

  8. G.N. Mercer, A.M. Gill, R.O. Weber and A. York, 1996, ``Variability in litter accumulation models'', in Proceeding of the 13th Conference on Fire and Forest Meteorology, Lorne, Victoria, October 1996.

  9. G.N. Mercer, A.M. Gill and R.O. Weber, 1995, ``A flexible, non-deterministic, litter accumulation model'', in Proceeding of Bushfire '95, Australian Bushfire Conference, Hobart, Tasmania, September 1995.

  10. R.O. Weber, G.N. Mercer, G.J. Mahon, W.R. Catchpole and A.M. Gill, 1995, ``Predicting maximum inter-hummock distance for fire spread'', in Proceeding of Bushfire '95, Australian Bushfire Conference, Hobart, Tasmania, September 1995.

Research papers in preparation

  1. G.N. Mercer and A.H. Tyson, 2008, ``Modelling the cryogenic treatment of warts''.

  2. G.N. Mercer and W.A. Forster, 2008, ``Spray droplet adhesion models: theory development and comparison with experiments''.

  3. G.N. Mercer and W. Sweatman, 2008, ``A model for droplet bounce, shatter and adhesion''.

  4. G.N. Mercer, W.A. Forster, J.A. Zabkiewicz, 2008, ``A comparison of agrichemical uptake models with experimental results''.

  5. G.N. Mercer, D.O. Marlow, 2008, ``Optimizing maritime surveillance route choice in real time''.

  6. G.N. Mercer and H.S. Sidhu, 2008, ``Minimizing risk when traversing a minefield with mine discovery enroute''.

  7. G.N. Mercer, H.S. Sidhu and V.V. Gubernov, 2008, Stability of new chain branching combustion wave models''.

  8. G.N. Mercer and H.S. Sidhu, 2008, ``The effect of layer thckness and thermophysical properties on firefighter clothing embedded with phase change material''.

  9. G.N. Mercer and S.I. Barry, 2008, ``Diffusion problems with two moving boundaries''.

  10. G.N. Mercer, 2008, ``Modelling heat exposure of vegetation during bushfires using Arrhenius kinetics''.

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