116 citations · 489 across the 28 of their papers we have counts for
4 papers · 1 filter
A two-scale Stefan problem arising in a model for tree sap exudation
Isabell Konrad, Malte A. Peter, John M. Stockie
The study of tree sap exudation, in which a (leafless) tree generates elevated stem pressure in response to repeated daily freeze-thaw cycles, gives rise to an interesting multi-sc…
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) =…
Homogenization of the Stefan problem, with application to maple sap exudation
Isabell Graf, John M. Stockie
The technique of periodic homogenization with two-scale convergence is applied to the analysis of a two-phase Stefan-type problem that arises in the study of a periodic array of me…
Correction to "Parametric Resonance in Immersed Elastic Boundaries"
William Ko, John M. Stockie
This note is a correction to a paper of Cortez, Peskin, Stockie & Varela [SIAM J. Appl. Math., 65(2):494-520, 2004], who studied the stability of a parametrically-forced, circular,…