3 papers
physics.geo-ph2016
A Mathematical Model of the Rainwater Flows in a Green Roof
Catherine Adley, Mark Cooker, Gemma Fay +5
A model is presented for the gravity-driven flow of rainwater descending through the soil layer of a green roof, treated as a porous medium on a flat permeable surface representing…
math.AP2016
On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control
Nikos Kavallaris, Andrew Lacey, Christos Nikolopoulos
We consider a nonlocal parabolic model for a micro-electro-mechanical system. Specifically, for a radially symmetric problem with monotonic initial data, it is shown that the solut…
math.AP2016
Transient Thermal Behaviour in a Model of Linear Friction Welding
Andrew Lacey, Caroline Voong
We derive a non-local model for the evolution of temperature in workpieces being joined by linear friction welding. The non-locality arises through the velocity being fixed by the…