116 citations · 489 across the 28 of their papers we have counts for
5 papers · 1 filter
Multiscale model of a freeze-thaw process for tree sap exudation
Isabell Graf, Maurizio Ceseri, John M. Stockie
Sap transport in trees has long fascinated scientists, and a vast literature exists on experimental and modelling studies of trees during the growing season when large negative ste…
Mathematics For Industry: A Personal Perspective
John M. Stockie
"I am an industrial mathematician." When asked to identify my profession or academic field of study, this is the most concise answer I can provide. However, this seemingly straight…
Multi-layer asymptotic solution for wetting fronts in porous media with exponential moisture diffusivity
Christopher J. Budd, John M. Stockie
We study the asymptotic behaviour of sharp front solutions arising from the nonlinear diffusion equation θ_t = (D(θ)θ_x)_x, where the diffusivity is an exponential function D(θ) =…
An immersed boundary model of the cochlea with parametric forcing
William Ko, John M. Stockie
The cochlea or inner ear has a remarkable ability to amplify sound signals. This is understood to derive at least in part from some active process that magnifies vibrations of the…
Simulating biofilm deformation and detachment with the immersed boundary method
Rangarajan Sudarsan, Sudeshna Ghosh, John M. Stockie +1
We apply the immersed boundary (or IB) method to simulate deformation and detachment of a periodic array of wall-bounded biofilm colonies in response to a linear shear flow. The bi…