37 citations · 102 across the 10 of their papers we have counts for
12 papers
String kernel representations in elastostatics
Jeremy G. Hoskins, Alan E. Lindsay, Manas Rachh
In this paper we present a new boundary integral equation formulation for the solution of the elastostatic traction boundary value problem in two and three dimensions. The approach…
Numerical bifurcation analysis of post-contact states in mathematical models of Micro-Electromechanical Systems
Charles Naudet, Alan E. Lindsay
This paper is a computational bifurcation analysis of a non-linear partial differential equation (PDE) characterizing equilibrium configurations in Micro electromechanical Systems…
Trapping of Planar Brownian Motion: Full First Passage Time Distributions by Kinetic Monte-Carlo, Asymptotic and Boundary Integral Methods
Jake Cherry, Alan E. Lindsay, Adrian Navarro Hernandez +1
We consider the problem of determining the arrival statistics of unbiased planar random walkers to complex target configurations. In contrast to problems posed in finite domains, s…
Pattern Formation in a Coupled Membrane-Bulk Reaction-Diffusion Model for Intracellular Polarization and Oscillations
Frédéric Paquin-Lefebvre, Bin Xu, Kelsey L. DiPietro +2
Reaction-diffusion systems have been widely used to study spatio-temporal phenomena in cell biology, such as cell polarization. Coupled bulk-surface models naturally include compar…
Moving Mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems
Kelsey L. DiPietro, Ronald D. Haynes, Weizhang Huang +2
Numerical and analytical methods are developed for the investigation of contact sets in electrostatic-elastic deflections modeling micro-electro mechanical systems. The model for t…
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…
A boundary integral equation method for mode elimination and vibration confinement in thin plates with clamped points
Alan E. Lindsay, Bryan Quaife, Laura Wendelberger
We consider the bi-Laplacian eigenvalue problem for the modes of vibration of a thin elastic plate with a discrete set of clamped points. A high-order boundary integral equation me…
Hybrid asymptotic-numerical approach for estimating first passage time densities of the two-dimensional narrow capture problem
Alan E. Lindsay, Ryan T. Spoonmore, Justin C. Tzou
A hybrid asymptotic-numerical method is presented for obtaining the full probability distribution of capture times of a random walker by multiple small traps located inside a bound…
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…