Oscillations in rotating fluids, especially the liquid core
Applications of fluid dynamics to internal gravity waves and inertial waves, and other oscillatory waves in the the Earth's liquid core.

Crossley, D. J., 1999. Inferences on core structure and flow from surface observations, IUGG XXII General Assembly, Abstract Volume B, B106.

Crossley, D. J. and M.G. Rochester, 1996, The subseismic approximation in core dynamics – II. Love numbers and surface gravity, Geophys., J. Int., 125, 830-840.

Crossley, D. and Rochester, M.G., 1992. The subseismic approximation in core dynamics, Geophys J.Int., 108, 502-506.

Crossley, D., Hinderer, J. & Legros, H., 1991. On the excitation, detection and damping of core modes, Phys. Earth Planet. Int., 116, 68-97.

Melchior, P.V., Crossley, D. J., Dehant, V.P. and Ducarme, B., 1989. Have inertial waves been identified from the Earth's core ? Structure and Dynamics of Earth's Deep Interior, Geophysical Monograph 46, IUGG Volume 1, 1-12, D.E. Smylie and R. Hide. AGU.

Crossley, D.J., 1989. The excitation of core modes by earthquakes in Structure and Dynamics of Earth's Deep Interior, Geophysical Monograph 46, IUGG Volume 1, pp. 41-50, D.E. Smylie and R. Hide, AGU.

Crossley, D. J., 1984. Oscillatory flow in the liquid core, Phys; Earth Planet. Int., 36, 1-16.

Crossley, D. J. and Rochester, M.G., 1980. Simple core undertones, Geophys. J. Roy. Astr. Soc., 60, 129-161.

Crossley, D. J. and Smylie, D.E., 1975. Electromagnetic and viscous damping of core oscillations, Geophys. J. Roy. Astr. Soc., 42, 1101-1033.

Crossley, D. J., 1975. Core undertones with rotation, Geophys. J. Roy. Astr. Soc., Geophys. J. Roy. Astr. Soc., 42, 477-488

Crossley, D. J. and Gubbins, D., 1975. Static deformation of the Earth's liquid core, Geophys. J. Roy. Astr. Soc., 41, 153-163.

Stably-stratified regions of the Earth's fluid core
Most seismologists and geodynamo modelers assume the Adams-Williamson condition holds in the fluid. This is equivalent to assuming the core is chemically homogeneous, or well mixed, and that the thermal gradient is adiabatic.  

Crossley, D.J., 2001. The detection of stable layers in the Earth's core, submitted to Geophysical Monographs, ed. Veronique Dehant, Observatorire Royal de Beligique.