39 citations · 48 across the 7 of their papers we have counts for
7 papers
Wellposedness of an elliptic-dispersive coupled system for MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
In this work, we study the local wellposedness of the solution to a nonlinear elliptic-dispersive coupled system which serves as a model for a Micro-Electro-Mechanical System (MEMS…
Quenching for a semi-linear wave equation for MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
We consider the formation of finite-time quenching singularities for solutions of semi-linear wave equations with negative power nonlinearities, as can model micro-electro-mechanic…
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…
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…
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…
A Mathematical Model for Flash Sintering
Andrew A. Lacey, Ian J. Hewitt, Richard I. Todd
A mathematical model is presented for the Joule heating that occurs in a ceramic powder compact during the process of flash sintering. The ceramic is assumed to have an electrical…