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Several nonlinear eigenvalue problems modeling the steady-state deflection of an elastic membrane associated with a MEMS capacitor under a constant applied voltage are analyzed using formalâ€¦ (More)

- Alan E. Lindsay, Joceline Lega
- SIAM Journal of Applied Mathematics
- 2012

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 field ofâ€¦ (More)

- Karl B. Glasner, Alan E. Lindsay
- SIAM J. Applied Dynamical Systems
- 2013

In many pattern forming systems, narrow two-dimensional domains can arise whose cross sections are roughly one-dimensional localized solutions. This paper investigates this phenomenon in theâ€¦ (More)

- Alan E. Lindsay, D. R. Brecher
- Mathematics and Computers in Simulation
- 2012

We consider the Constant Elasticity of Variance (CEV) process, reviewing the relationships between its transition density and that of the non-central chi-squared distribution. When the CEV parameterâ€¦ (More)

Some nonlinear eigenvalue problems related to the modelling of the steady-state deflection of an elastic membrane associated with a MEMS capacitor under a constant applied voltage are analyzed usingâ€¦ (More)

In an arbitrary bounded 2-D domain, a singular perturbation approach is developed to analyze the asymptotic behavior of several biharmonic linear and nonlinear eigenvalue problems for which theâ€¦ (More)

- Alan E. Lindsay, Andrew J. Bernoff, Michael J. Ward
- Multiscale Modeling & Simulation
- 2017

We study the first passage time problem for a diffusing molecule in an enclosed region to hit a small spherical target whose surface contains many small absorbing traps. This study is motivated byâ€¦ (More)

Interface dynamics of post contact states in regularized models of electrostatic-elastic interactions are analyzed. A canonical setting for our investigations is the field of MicroElectromechanicalâ€¦ (More)

- Alan E. Lindsay, Joceline Lega, Francisco-Javier Sayas
- J. Nonlinear Science
- 2013

The formation of finite time singularities in a nonlinear parabolic fourth order partial differential equation (PDE) is investigated for a variety of two-dimensional geometries. The PDE is a variantâ€¦ (More)

- Alan E. Lindsay, Claude J. Migeon, Chris Nugent, Hannah M Brown
- The American journal of medicine
- 1956