# COLLIN PHILLIPS

Senior Lecturer, Mathematics Learning Centre

My research field is Magnetohydrodynamics (MHD). MHD concerns the interplay of conducting fluids and magnetic fields within the Earth, planets, the Sun, stars and galaxies. My research addresses an important unsolved aspect of MHD — modelling physically relevant parameters of the Earth's core (and the interior of stars) with motion that is considered to be turbulent, small scale and rapid. I have developed, with Dr David Ivers, a method of modelling the parameterised effects of these small scale fields on the larger computationally resolvable dynamos of the Earth and stars. This parameterisation of anisotropic diffusion is one of three current approaches addressing this problem of dynamo theory.

# Selected Publications and Scholarly Work

(Most recent listed first in each category/alphabetic section)

## Papers in Refereed Journals

- Phillips, C.(2015). An improved representation of mathematical modelling for teaching, learning and research.
*International Journal of Innovation in Science and Mathematics Education*, 23(4), 51-63. - Barton, D., Cantrill, L, Law, A., Phillips, C., Sutton, B. & Overall, R. (2014). Chilling to zero degrees disrupts pollen formation but not meiotic microtubule arrays in
*Triticum aestivum*L.,*Plant, Cell and Environment*, 37(12), 2781-2794. DOI: 10.1111/pce.12358 - Ivers, D. & Phillips, C. (2014). Homogeneous planar and two-dimensional mean-field antidynamo theorems with zero mean flow.
*Geophysical & Astrophysical Fluid Dynamics*, 108(6), 716-733. - Phillips, C. G. and Ivers, D. J. (2014). From isotropic to rapidly rotating anisotropic alpha-squared dynamos,
*Geophysical and Astrophysical Fluid Dynamics*, 108(1), 60-82. DOI: 10.1080/03091929.2013.823006 - Phillips, C. G. (2013). Vector and scalar spherical harmonic spectral equations for rapidly rotating anisotropic alpha-effect dynamos,
*Geophysical and Astrophysical Fluid Dynamics*, 107(6), 640-666. DOI: 10.1080/03091929.2013.765952 - Ivers, D. J. and Phillips, C. G. (2012). Anisotropic turbulent thermal diffusion and thermal convection in a rapidly rotating sphere,
*Physics of the Earth and Planetary Interiors*, 190-191, 1-9. - Ivers, D. J. and Phillips, C. G. (2008). Scalar and vector spherical harmonic spectral equations of rotating magnetohydrodynamics,
*Geophysical Journal International*, 175(3), 955-974. - Phillips, C. G. and Ivers, D. J. (2005). Spherical magnetic instabilities in the Earth's core and equatorial symmetries,
*Physics of the Earth and Planetary Interiors*, 153, 83-100. - Ivers, D. and Phillips, C. (2003). A vector spherical harmonic spectral code for linearised magnetohydrodynamics,
*ANZIAM J. (E)*pp C423–C442, 2003. - Phillips, C. and Ivers, D. (2003). Strong field anisotropic diffusion models for the Earth’s core,
*Physics of the Earth and Planetary Interiors*, 140, 13-28. - Phillips C. and Ivers, D. (2001). Spherical interactions of rapidly-rotating anisotropic turbulent viscous and thermal diffusion in the Earth’s core.
*Physics of the Earth and Planetary Interiors*, 128, 93-107. - Phillips C. and Ivers, D. (2000). Spherical anisotropic diffusion models for the Earth’s core.
*Physics of the Earth and Planetary Interiors*, 117, 209-223. - Dudley, M., James, R. and Phillips, C. (1986). Bounds on the infinum decay rate for axisymmetric incompressible dynamos,
*Geophysical and Astrophysical Fluid Dynamics*, 35, 373-378.

## Book chapter

- Ivers, D. and Phillips, C. (2001). Dynamo problems in spherical and nearly spherical geometries. In P. Chossat et al. (Eds.),
*Dynamo and Dynamics, a Mathematical Challenge*(pp.207-215), NATO Advanced Study Institute. The Netherlands: Kluwer Academic Press.

## Other Conference Presentations

- Phillips, C. and Ivers, D. (2008). Anisotropic thermal diffusion and magnetoconvection in a rapidly rotating fluid sphere.
*Presented at the 11th Studies of the Earth's Deep Interior Symposium*, Kunming, China, July. - Ivers, D. and Phillips, C. (2006). Spherical rapidly rotating anisotropic thermal diffusion models for the Earth's core.
*Presented at the 10th Studies of the Earth's Deep Interior Symposium*, Prague, Czech Republic, July. - Phillips, C. and Ivers, D. (2004). Spherical magnetohydrodynamic stability analysis of Earth core models.
*Presented at the 9th Studies of the Earth's Deep Interior Symposium*, Garmisch-Partenkirchen, Germany, July. - Phillips, C. and Ivers, D. (2002). Strong Field Anisotropic Diffusion Models for the Earth’s Core.
*Presented at the 8th Studies of the Earth’s Deep Interior Symposium*, Tahoe City, July. - Phillips, C. and Ivers, D. (2000). Linear stability analysis of anisotropic thermal diffusion models for the Earth’s core.
*Presented at the 4th Australia Geomagnetism Workshop*, Canberra, April. - Phillips, C. and Ivers, D. (2000). Anisotropic diffusion models for the Earth’s core, spectral equation and numerical simulates.
*Presented at the 7th Studies of the Earth’s Deep Interior Symposium*, Exeter, UK, August. - Ivers, D. and Phillips, C. (1999). Spherical spectral analysis of linearised MHD models for the Earth’s core.
*Presented at the International Union of Geodesy and Geophysics conference*, Birmingham, UK, July. - Phillips, C. and Ivers, D. (1998). Spectral equations of Earth core models with anisotropic turbulence.
*Presented at the 6th Studies of the Earth’s Deep Interior Symposium*, Tours, France, July. - Phillips, C. (1997). Vector spherical harmonic analysis of linearised MHD stability models for the Earth's core.
*Presented at the 8th Scientific Assembly of International Association of Geomagnetism and Aeronomy*, Uppsala, Sweden, August. - Phillips, C. (1996). Vector spectral equations.
*Presented at the Western Pacific Geophysics Meeting*, Brisbane, July. - Phillips, C. (1995). The onset of oscillations in anisotropic alpha squared dynamos.
*Presented at the International Union of Geodesy and Geophysics conference*, Boulder, USA, July.