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Fractal sets of neutral curves for stably-stratified plane Couette flow (2019)
Journal Article
Healey. (2019). Fractal sets of neutral curves for stably-stratified plane Couette flow. Journal of Fluid Mechanics, 697-728. https://doi.org/10.1017/jfm.2019.377

The linear stability of plane Couette flow is investigated when the plates are horizontal, and the fluid is stably stratified with a cubic basic density profile. The disturbances are treated as inviscid and diffusion of the density field is neglected... Read More about Fractal sets of neutral curves for stably-stratified plane Couette flow.

Time series analysis of homoclinic nonlinear systems using a wavelet transform method (2004)
Journal Article
Austin, J. C., & Healey, J. J. (2004). Time series analysis of homoclinic nonlinear systems using a wavelet transform method. Fluid Dynamics Research, 34(6), Article 401. https://doi.org/10.1016/j.fluiddyn.2004.03.002

Homoclinic (and heteroclinic) trajectories are closed paths in phase space that connect one or more saddle points. They play an important role in the study of dynamical systems and are associated with the creation/destruction of limit cycles as a par... Read More about Time series analysis of homoclinic nonlinear systems using a wavelet transform method.