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Prof. Jonathan J. Wylie's research is focused on fluid mechanics, granular materials and other industrially motivated problems. He obtained his PhD and was subsequently awarded a Junior Research Fellowship from King's College, Cambridge. He is the author of a number of research papers and has publications in "Science" and "Physical Review Letters". He is an associate editor of "Mathematics-in-Industry: Case Studies" which is a new journal launched by the Fields Institute, Canada. He was a member of the organising committee for the "International Conference on Applied Mathematics: Modeling, Analysis and Computations" in CityU (2008) and is also a member of the organising committee for the upcoming "Third workshop on Industrial Applications" in CityU (2009).
Research Interests
- Fluid Mechanics
- Granular Materials
- Suspension Mechanics
- Mathematical Modelling of Geophysical Systems
Selected Publications
- W.Guo, Q.Zhang and J.J.Wylie
“Intermittency in dilute granular flows”
Europhysics Letters115, 14003 (2016). - D.He, J.J.Wylie, H.Huang & R.M.Miura
“Extension of a viscous thread with temperature-dependent viscosity and surface tension”
Journal of Fluid Mechanics800, 720 (2016). - J.J.Wylie, B.H.Bradshaw-Hajek & Y.M.Stokes
“The evolution of a viscous thread pulled with a prescribed speed”
Journal of Fluid Mechanics795, 380 (2016). - J.J.Wylie, H.Huang & R.M.Miura
“Asymptotic analysis of a viscous thread extending under gravity.”
Physica D313, 51-60 (2015). - X.-S.Wang, D.He, J.J.Wylie & H.Huang “Singular Perturbation Solutions of Steady-state Poisson-Nernst-Planck Systems”
Physical Review E89, 022722 (2014). - R. M. Miura, H.Huang & J.J.Wylie “Mathematical Approaches to Modeling of Cortical Spreading Depression”
Chaos23, 046103 (2013). - J. C. Chang, K.C.Brennan, D.He, H.Huang, R.M.Miura, P.L.Wilson & J.J.Wylie “A Mathematical Model of the Metabolic and Perfusion Effects on Cortical Spreading Depression”
PLOS One8(8), e70469 (2013). - J. J. Wylie, R.Yang & Q.Zhang “Periodic orbits of inelastic particles on a ring”
Physical Review E86, 026601 (2012). - J. J. Wylie, H.Huang & R.M.Miura “Stretching of viscous threads at low Reynolds numbers”
Journal of Fluid Mechanics683, 212 (2011). - Q. Zhang, Y.Fang & J.J.Wylie “Critical role of friction for a single particle falling through a funnel”
Physical Review E83, 051303 (2011). - H. Huang, J.J.Wylie & R.M.Miura “Diffusion in a Cellular Medium: A (1+1)-Dimensional Model”
Bulletin of Mathematical Biology73, 1682 (2011). - Y. H. Deng, J. J. Wylie & Q. Zhang "Deflection ofa dilute stream of particles"
Physical Review E82, 011307 (2010). - R. Yang & J. J. Wylie "Degenerate orbit transitions in a one-dimensional inelastic particle system"
Physical Review E82, 011302 (2010). - J. J. Wylie, Q. Zhang & T. K. Siu "Can Expected Shortfall and Value-at-Risk be used to statically hedge options?"
Quantitative Finance(2009). - J. J. Wylie, Q. Zhang, Y. Li & H. Y. Xu "Driven Inelastic Particle Systems with Drag"
Physical Review E79, 031301 (2009). - H. Huang, R. M. Miura & J. J. Wylie "Dopant diffusion during optical fiber drawing"
SIAM Journal on Applied Mathematics69, 330 (2008). - Y. Fang, M. Gao, J. J. Wylie & Q. Zhang "Anomalous behavior of a single particle falling through a funnel"
Physical Review E77, 041302(2008). - J. J. Wylie, Q. Zhang, H. Y. Xu & X. X. Sun "Drag-induced Particle Segregation with Vibrating Boundaries"
Europhysics Letters81, 54001 (2008). - J. J. Wylie & H. Huang "Extensional flows with viscous heating"
Journal of Fluid Mechanics571, 359 (2007). - H. Huang, J. J. Wylie, R. M. Miura & P. D. Howell "On the Formation of Glass Microelectrodes"
SIAM Journal on Applied Mathematics67, 630(2007). - S. Ben Hariz, J. J. Wylie & Q. Zhang "Optimal rate of convergence for nonparametric change-point estimators for non-stationary sequences"
Annals of Statistics35, 1802 (2007). - J. J. Wylie, H. Huang & R. M. Miura "Thermal Instability in drawing viscous threads"
Journal of Fluid Mechanics570, 1 (2007). - J. J. Wylie, Q. Zhang & X. X. Sun "Anomalous Ritchmyer-Meshkov Fingering in Dissipative Particle Systems"
Physical Review Letters97, 104501 (2006). - J. J. Wylie & Q. Zhang "Collapse of periodic orbits in an inelastic one-dimensional particle system"
Physical Review E74, 011305 (2006). - J. J. Wylie & R. M. Miura "Traveling Waves in Coupled Reaction-Diffusion Models with Degenerate Sources"
Physical Review E74, 021909 (2006). - J. J. Wylie, D. L. Koch & A. J. C. Ladd "Rheology of Suspensions with high Particle Inertia and moderate fluid inertia"
Journal of Fluid Mechanics480, 95 (2003). - J. J. Wylie, B. Voight & J. A. Whitehead "Instability of magma flow with volatile-dependent viscosity"
Science285, 1883 (1999). - J. J. Wylie & D. L. Koch "Particle clustering due to hydrodynamic interactions"
Physics of Fluids12, 964 (1999). - J. J. Wylie & J. R. Lister "Stability of straining flow with surface cooling and temperature-dependent viscosity"
Journal of Fluid Mechanics365, 369 (1998). - J. J. Wylie, K. Helfrich, B. Dade, J. R. Lister & J. Salzig "Focussed flow in fissure eruptions"
Bulletin of Volcanology60, 432 (1998). - J. J. Wylie & J. R. Lister "The effects of temperature-dependent viscosity on a flow in a cooled channel"
Journal of Fluid Mechanics305, 239 (1995).