37 citations · 102 across the 10 of their papers we have counts for
5 papers · 1 filter
Numerical approximation of diffusive capture rates by planar and spherical surfaces with absorbing pores
Andrew J. Bernoff, Alan E. Lindsay
In 1977 Berg & Purcell published a landmark paper entitled "Physics of Chemoreception" which examined how a bacterium can sense a chemical attractant in the fluid surrounding it. A…
An asymptotic study of blow up multiplicity in fourth order parabolic partial differential equations
A. E. Lindsay
Blow-up in second and fourth order semi-linear parabolic partial differential equations (PDEs) is considered in bounded regions of one, two and three spatial dimensions with unifor…
Derivation and Equilibrium Analysis of a Regularized Model for Electrostatic MEMS
A. E. Lindsay, J. Lega, K. B. Glasner
In canonical models of Micro-Electro Mechanical Systems (MEMS), an event called touch- down whereby the electrical components of the device come into contact, is characterized by a…
Analysis of the singular solution branch of a prescribed mean curvature equation with singular nonlinearity
Nicholas D. Brubaker, Alan E. Lindsay
The existence and multiplicity of solutions to a quasilinear, elliptic partial differential equation (PDE) with singular non-linearity is analyzed. The PDE is a recently derived va…
Multiple Quenching Solutions of a Fourth Order Parabolic PDE with a singular nonlinearity modelling a MEMS Capacitor
Alan Lindsay, Joceline Lega
Finite time singularity formation in a fourth order nonlinear parabolic partial differential equation (PDE) is analyzed. The PDE is a variant of a ubiquitous model found in the fie…