113 citations · 784 across the 51 of their papers we have counts for
7 papers · 1 filter
Evaporating droplets on inclined plant leaves and synthetic surfaces: experiments and mathematical models
Eloise C. Tredenick, W. Alison Forster, Ravindra Pethiyagoda +2
Hypothesis: Evaporation of surfactant droplets on leaves is complicated due to the complex physical and chemical properties of the leaf surfaces. However, for certain leaf surfaces…
Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation
Scott W McCue, Maud El-Hachem, Matthew J Simpson
A family of travelling wave solutions to the Fisher-KPP equation with speeds can be expressed exactly using Weierstrass elliptic functions. The well-known soluti…
Implicit reconstructions of thin leaf surfaces from large, noisy point clouds
Riley M. Whebell, Timothy J. Moroney, Ian W. Turner +2
Thin surfaces, such as the leaves of a plant, pose a significant challenge for implicit surface reconstruction techniques, which typically assume a closed, orientable surface. We s…
Kelvin wake pattern at small Froude numbers
Ravindra Pethiyagoda, Timothy J. Moroney, Christopher J. Lustri +1
The surface gravity wave pattern that forms behind a steadily moving disturbance is well known to comprise divergent waves and transverse waves, contained within a distinctive V-sh…
Invading and receding sharp-fronted travelling waves
Maud El-Hachem, Scott W McCue, Matthew J Simpson
Biological invasion, whereby populations of motile and proliferative individuals lead to moving fronts that invade into vacant regions, are routinely studied using partial differen…
A sharp-front moving boundary model for malignant invasion
Maud El-Hachem, Scott W McCue, Matthew J Simpson
We analyse a novel mathematical model of malignant invasion which takes the form of a two-phase moving boundary problem describing the invasion of a population of malignant cells i…